Friday, 2 March 2018

                                                                             
Physics 1nd Year
                     







                                                               Past paper Chapter Wise




Ch # 01 Measurements
Q-1. Encircle the correct answer of the following.                                                

1) One year is equal to  
     (a)  3.2 x 107 s                (b) 8.6 x 104 s      (c) 3.2 x 104 s                      (d) 5 x 1017 s
2) LT² is dimensional formula for 
     (a) Velocity                        (b) Force                      (c) Acceleration     (d) Momentum 
3) Supplementary units are
     (a) Two                              (b) Three                      (c) Four                       (d) Five 
4) 73.650 rounded off upto one decimal is
     (a) 73.6                                             (b) 73.65                        (c) 74.00                                      (d) None   
5) Light year is a unit of  
     (a) Time                                          (b) Distance         (c) Light                             (d) Velocity
6) Significant figures in 0.111846 are  
     (a) Three                                           (b) Four                                 (c) Six                                (d) Seven
7)  The SI unit of solid angle is
     (a) Degree                                     (b) Radian                            (c) Sterdian        (d) Candela          
8) The dimensions of force is 
     (a) MLT                                                 (b) MLT¯¹             (c) ML¯¹T¯¹                 (d) MLT¯²
9) Dimensions for acceleration due to gravity is   
     (a) MLT¯²                                             (b) MLT               (c) LT¯²                                (d) MºLT¯²
10) The dimensions of moment of inertia are   
     (a) ML²                                              (b) ML²                                (c) ML                           (d) None
11) What is number of significant figures in measurement recorded as 8.70 x 104 Kg?
     (a) 1                                                   (b) 2                                      (c) 3                          (d) 7
12) The dimensions of gravitational constant G is
     (a) M1 L 3T-1                                      (b) M -1L 3T-2                      (c) M 2L1T-3                  (d) M -2L -1T-3
13) The SI unit of time is
     (a) 60 min                               (b) cesium Sec.                         (c) Krypton-86                           (d) 60 Sec.
 14) Basic component of computer chip is
     (a) Selenium                        (b) Cadmium              (c) Glass                          (d) Silicon
15) One pico is equal to
     (a) 1012                                 (b) 10-6                                            (c) 10-9                           (d) 10-12
16) Steradian is a unit of
(a) Radius                                    (b) Plane angle                         (c) Solid angle                           (d) None
17) Which of the following is a derived unit?
 (a) Ampere                            (b) Candela                                    (c) kelvin                          (d) Pascal
18) A light is unit for
(a) Intensity of light               (b) Time                       (c) Distance                           (d) Velocity
19) Which of the following pair has same dimensions?
(a) Work and power               (b) Momentum and velocity               (c) Work and torque    (d) Power and pressure
 20) Which of the following is a base unit?
(a) Joule                                (b) Newton                      (c) Mole                          (d) Centigrade
21) Number of colors used in color printing to produce entire range of colors
(a) Four                                  (b) five                                              (c) Six                           (d) Seven
22)  One dyne is equal to
(a) 10-5 N                                  (b) 105 N                                          (c) 103 N                          (d) 10-3 N
23) Solid angle subtended at the center of the sphere is
(a) 2л                                     (b) 4л                                                   (c) 6л                           (d) 8л
24) One Femto is equal to 
(a) 10-13                                      (b) 10-12                                          (c) 10-14                           (d) 10-15
25) The ratio of dimensions of power to work is
(a) L:T                          (b) T:L                                             (c) L:T2                           (d) T2:L
26) Significant figures in 0.00567 are 
(a) 2                                             (b) 3                                 (c) 4                           (d) 5
 27) The dimensions of gravitational constant G is
     (a) M L-1T-1                        (b) MLT-1                                            (c) ML-2T-1                  (d) MLT

Q-2. Write short answers of the following questions
1)  Give draw backs to use the period of a pendulum as time standard.
2)  Write the dimensions of (i) Pressure (ii) Density
3)  Distinguish b/w base units and derive units.
4)  Define radians and steradian.
5)  The period of a simple pendulum is measured by a stop watch. What types of errors are possible
6)  Name the two physical quantities, which have same dimensional formula. Write  dimensions also.
7) Name the several repetitive phenomena occurring in nature which could be serve as
     reasonable time standard.
8)  Does dimension analysis give any information on constant of proportionality that may  appear in algebraic 
     expression. Explain.
9)   How many nano seconds are in one year?
10) Why do we find it useful to have two units for amount of a substance, the kilogram? and mole?
11) Show that vf = vi + at is dimensionally correct.
12) Show that E = mc2 is dimensionally correct.
13) Differentiate b/w random error and systematic error.
14) What do you mean by scientific notation?
15) Define physics.
16) Differentiate b/w precise measurement and accurate measurement.
17) Find the dimensions and SI unit of coefficient of viscosity.
18) Write down the uses of dimensional analysis.
19) What is systematic error? What is procedure to reduce them?
20) Find the dimensions of coefficient of viscosity in the relation of Stokes law.
21) What are the base units? Name all of them.
22) Write down the unit and dimensions of G.

Q-3  (a). State and explain the significant figure.                                                           (5)                                                                         
        (b). Add the following masses given in kg upto appropriate precision. 2.189, 0.089,11.8 and 5.32           (3)                                                                             


Q- 4 (a)   Distinguish b/w precision and accuracy with examples.                                 (5)                                                                                                                                                                                                                                                                     
        (b). The length and width of a rectangular plate are measured to be 15.3 cm and
               12.80 cm respectively. Find the area of the plates.                                           (3)

Q-5 (a)   Define errors. Describe types of errors. How errors are reduced?                   (5)                                                                                                                                                                                        
       (b)   The wavelength λ of a wave depends upon the speed v of the wave and its frequency f.
                 Knowing that  [λ] = [L],     [v] = [LT¯¹],     [f] = [T¯¹].
                  Decide which of the following is correct,       f = vλ     or     f = v/λ                (3

                                  Ch # 02 Vectors and Equilibrium

Q-1. Encircle the correct answer of the following.

1)  At what angle the two vectors of the same magnitude have to be orientared , if they were to be combined 
     to give a resultant to equal a vector of same magnitude?
(a) 720                                   (b) 600                       (c) 360                                               (d) 1200 
2) Condition of complete equilibrium is satisfied if
(a) ∑ τ = 0             (b) ∑ F = 0                (c) ∑ τ = 0 and ∑ F = 0       (d) Angular Momentum is zero.
3) What is angle b/w tow vectors is A= 5i+j and B= 2i+4j                
(a) 660                         (b) 520                 (c) 250                                                  (d) 330
4) the cross product of vector A with itself has magnitude :
    (a) A                                  (b) 0                     (c) A2                                                          (d) None
5) If Fx= 2N and Fy= 2N the vector F is inclined with X-axis at
(a) 900                    (b) 600                 (c) 450                                                    (d) 00
6) If a vector A is along X-axix then its Y-component will be
    (a) A Sinϴ                          (b) A Cosϴ         (c)  A Tanϴ                       (d) Zero
7) If F=2i +3j and d= 4i+4j the work done is
    (a)   13 J                              (b) 18J                 (c) 20 J                              (d) 24 J
8) If 2nd condition equilibrium is satisfied then body will be in
(a) Rot.Equilbrium       (b) Static Equilbrium      (c)  Dynamic Equilbrium   (d) Complete Equilbrium
9) The X-componet of a force is 10 N acting along horizontal,will be
(a) 5J                                   (b) 10J                 (c)  15 J                                     (d) 20 j
10) The magnitude of rectangular componets of a vector are equal if its angle with x-axis
(a) 900                     (b) 300                       (c) 450                                         (d) 00
11) If Rx and Ry both are negative then direction of resultant vector lies in
(a) 1st quadrant                   (b) 2nd quadrant    (c) 3 rd quadrant           (d) 4th quadrant
12) If Rx is negative and Ry component is positive , the directionof resultant R will be
ϴ=Φ                                         (b) ϴ= 1800 -   Φ      (c)  1800 + Φ                  (d) 3600 - Φ
13) The cross product of (k x j) is equal to
(a) i                                          (b) j                (c)  k                                        (d) -i
14) If a vector A is along X-axix then its Y-component will be
(a) A Sinϴ                               (b) A Cosϴ                       (c)  A Tanϴ                          (d) Zero
15) The magnitude  of   i .(j x k) is equal to
                (a) i                                          (b) 0                                     (c) 1                                    (d) -1
16)  Scalar product of two vectors is maximum when they are
                (a) Parallel                            (b) Antiparallel          (c) Perpendicular                 (d) None
17) When two vectors are antiparallel, the angle between them is 
                (a) Zero                                 (b) 600                                   (c) 900                  (d) 1800 
18) Reverse process of vector addition is called   
                (a) Subtraction of vectors   (b) Resolution of vectors   (c) Negative vector    (d) None
19)  The magnitude of dot product and cross product is equal when angle between them is
                (a)     (a) Zero       (b) 600                                 (c) 900                                      (d) 1800 
20)  A single vector which has same effect as all the original vectors taken together is
               (a) Unit vector    (b) Position vector     (c) Resultant vector        (d) Null vector
21)  r = ai + bj + ck   
                (a) Unit vector                    (b) Position vector      (c) Null vector         (d) None
22)  A x A is
                (a)  A                                      (b) 2A                                (c) Zero                                       (d) A² 
23) If A = 2i + j + 2k the
                (a) Zero                                 (b) 3                                         (c) 4                                        (d) 5 
24) If | a +b | = | a + b | the angle b/w a and b is
                (a)  90º                                    (b) 0º                                    (c) 180º                                    (d) 45º   
25) Reverse process of vector addition is called   
                (a) Subtraction of vectors   (b) Resolution of vectors   (c) Negative vector    (d) None
26) The magnitude of the vector  A = 2/3i + 1/3j + 2/3k is   
                (a) Zero                                  (b) One                      (c) Three                           (d) 1/9
27)  The dot product of i.i = j.j = k.k is equal to
                (a) 0                                          (b) 1                                 (c) -1                               (d) I²          
28) The resultant of two forces 30 N and 40 N acting at an angle of 90º with each other is
                (a) 30 N                    (b) 40 N                              (c) 50 N                                      (d) 70 N
29) Which of the following is a vector quantity?
                (a) Power                               (b) Inertia                          (c) Entropy                (d) Velocity
30) The distance b/w the points P (-2, -3) and Q (3, 9) is    
                   (a) 13 Units                         (b) 12 Units                      (c) 23 Units                            (d) 10 Units
31) If B = 4i + 5k the magnitude will be 
      (a) 9                                                    (b) 7                                    (c) 3                           (d)    
32) The dot product of two vectors is equal to the product of their magnitude if angle b/w them is
       (a) 900                                  (b) 00                               (c) 1800                           (d) 450
33) Dot product of a vector with itself is  
        (a) A2                                              (b) 2A                                   (c) A                          (d) 0
34) A vector in space has the components  
         (a) 1                                                (b) 2                                     (c) 3                           (d)     4

Q-2. Write short answers of the following questions.                                  
1)  Can a body rotate under the action of its weight?
2)  What do you understand by positive and negative torque?
3)  Can you add zero to null vector?
4)  Can the magnitude of a vector have negative value?
5)  If one of the rectangular component is not zero, can its magnitude be zero? Explain.
6)   What are rectangular components..
7)  Define (i)  position vector   (ii) Unit vector.
8)  What is the unit vector in the direction of the vector A = 4i + 3 j ?
9)  Under what circumstances would a vector have components that are equal in  magnitude
10) A force F = 2i + 3j units, has its point of application moved from point A (1, 3) to the   point B (5, 7).
        Find the work done.
11) Define the multiplication of a vector by a scalar.
12) Differentiate between static and dynamic equilibrium.
13) In which quadrant a vector lies if (i) both of its components have same value (ii) opposite value.
14) Name two different conditions that could make A1 x A2 =0
15) How can we subtract the vectors?
16) Define torque? Write its unit and dimensions.
17) Prove that commutative law holds good in the addition of vectors.
18)  You are falling off the edge. What should you do to avoid falling,
19) Name three different conditions that could make  A1 x A2 =0
20) If all components of vectors A1 and A2 were reversed, how would this alter  A1 x A2=?
21) Why do you keep your legs far apart when you have to stand in the aisle of bumpy riding bus?
22) Is it possible to add scalar quantity to a vector quantity?

Q-3  (a). Define and explain vector product of two vectors with examples Give its any  four characteristics.                                                                                          
        (b). Find the angle b/w the two vectors A = 5i + j and B = 2i + 4j.                      
 Q- 4 (a) Describe the method of addition of vector by rectangular components?          
        (b). Given that A = I -2j +3k and B = 3i – 4k, find the projection of A on B.      
Q-5 (a)   What is torque? Calculate torque due to force acting on a rigid body.           
       (b)   The magnitude of dot and cross products of two vectors are 6√3 and 6  respectively.
                Find the angle b/w them.                                                            

Ch # 03 Motion and Force

Q-1. Encircle the correct answer of the following.                                                

1)  The area under force and displacement curve is equal to
     (a) Power                          (b) Work                           (c) Torque                     (d) Momentum 
2) Choose the quantity referring to liner motion that corresponds to moment of inertia in rotational 
   (a) Mass                              (b) K.E                              (c) Acceleration            (d) Momentum 
3) The range of the projectile is same for angles of projection
   (a) 300, 450                          (b) 450, 600                       (c) 500, 450                    (d) 300, 600 
4) A brick of mass 20 Kg is dropped from a rest position 5 cm above the ground. Its velocity at a height of 
    3 cm above the ground will be
   (a) 3.6 m/s                           (b) 8.6 m/s                        (c) 6.3 m/s                    (d) 7.8 m/s
5) A ball is thrown above the horizon making an angle of 300 .The height attained by the 11.5 m. The
    launching velocity of the ball is
   (a) 20 m/s                            (b) 60 m/s                         (c) 30 m/s                      (d) 45 m/s
6) A ball is allowed to fall freely from certain height . It covers a distance in first second equal to
  (a) 2 g                                   (b) 1 g                               (c) g/2                            (d) None
7) Newton’s 1st law of motion is also called
   (a) Law of velocity              (b) Law of inertia             (c) Law of force             (d) Law of acceleration
8)  Area under velocity time graph represents:
   (a) Speed                              (b) Momentum                  (c) Velocity                   (d) Distance Covered
9) The equation of motions are not useful for objects moving with:
      (a) Uniform velocity         (b) Uniform acceleration     (c) Variable velocity   (d) Variable acceleration
10) During a projectile motion, if maximum height is equal to horizontal range then the angle of 
      projection with the horizontal will be
     (a) 450                                (b) 63.40                             (c) 71.50                                  (d) 760
11) Rocket equation is given as
    (a) a = M/mv                      (b) a = Mv/m                      (c) a = mv/M                 (d) a = m/Mv
12) Motion of projectile is
   (a) One dimension              (b) Two dimension             (c) Three dimension       (d) Four dimension
13) For maximum range the angle of projection must be
   (a) 300                                (b) 450                                  (c) 600                             (d) 900
14) If the range of projectile is half to its maximum range, the angle of projection is
   (a) 300                                (b) 22.50                               (c) 150                             (d) 450
15) When a ball is thrown straight up, the acceleration at its highest point is
   (a) Upward                        (b) Downward                      (c) Zero                           (d) Horizontal
16) Change in momentum is also called
   (a) Force                           (b) Acceleration                      (c) Torque                      (d) Impulse
17)  Horizontal range of a projectile is 
     (a)  Equal to height                                  (b) one fourth of height  
     (c) One half of height                              (d) Double of height  
18) Ballistic missiles are of 
     (a) Short range               (b) Long range                      (c) Fixed range                (d) Infinite range
19) The area b/w velocity time graph and the time axis is numerically equal to 
     (a)  Speed of object                                 (b) Distance covered by the object     
     (c) Average velocity of the object          (d) Acceleration of the object   
20) Laws of motions are not valid which is    
     (a) Moving with uniform velocity          (b) At rest
     (c) Isolated                                              (d) Non - Inertial
21) Horizontal range of projectile is related with maximum range according to following relation    
     (a) R = Rmax Sin2θ       (b) Rmax = R Sin2θ                  (c) Rmax = R /Sin2θ            (d) None 
22)  The SI unit of momentum is 
     (a) Ns                           (b) Nm                                   (c) Kgms¯²                        (d) Joule           
23) The mass of the object is a quantitative measure of its
     (a) Acceleration         (b) Inertia                                 (c) Momentum                  (d) Work 
24) A body is moving with uniform velocity the in its acceleration is
     (a) Positive                 (b) Negative                             (c) Maximum                     (d) Zero
25) The component of velocity that remains constant during the projectile motion is
     (a) Vertical component    (b) Horizontal component    (c) Both A and B           (d) initial Component

26) The unit of Kgms-2 can also be written as  
(a) Ns                                      (b) N                                    (c) Js                                       (d) N/s
27) For which pair of angles the range of projectile are equal: 
(a) 200, 300                                (b) 700, 200                    (c) 600, 400                           (d) 500, 100
28) For typical rocket, how much mass of the rocket is in the form of fuel 
(a) 60%                                       (b) 50%                           (c) 80%                                                (d) 100%
29) The trajectory of projectile is
(a) Circle                                    (b) Parabola                 (c) Hyperbola                         (d) Straight line
30) The SI unit of impulse is   
(a) Ns                                      (b) Nm                                (c) Kgm/s                           (d) Nm2
31) No body begins to move or comes to rest of itself was given by
(a) Newton                               (b) Pascal                      (c) Bernouli                            (d) Bu Ali Sena
32) When mass of the body is doubled then acceleration becomes
     (a) Doubled                                    (b) Half                                   (c) One fourth                  (d) Constant

Q-2. Write short answers of the following questions.
1) Prove that area b/w velocity time graph and time axis is numerically equal to the distance covered by 
    the object.
2) Why is it useful to use safety helmet?
3) State Newton’s Second and third law of motion.
4) Find the change in momentum of an object subjected to given force for a given time.
Or Show that force is the rate of change of linear momentum.
5) Derive an expression for the range of projectile.
6) Find the velocity of heavy body when it elastically collides with a stationary light body.
7) Explain the circumstances in which the velocity V and acceleration a of a car are
     a. Parallel               b. Anti-parallel                c. perpendicular to one other
8)  Motion with constant velocity is a special case of motion with constant acceleration.  Is this statement is true?
9)  Define impulse and show that how it is related to momentum.
10) A cricket ball is hit so that it travels straight up in air and acquires 3 seconds to reach the maximum 
       height. Its initial velocity is :
   (a) 10 m/s          (b) 15 m/s               (c) 29.4 m/s       (d) 12.2 m/s
11)  Explain the difference b/w elastic and inelastic collision.
12)  What is horizontal range? Write its formula.
13)  Describe two uses of Ballistic missile.
14)  Find the dimensional formula for   (i) Impulse   (ii)   Momentum
15)  Is it possible for a body to have acceleration when moving with a constant velocity?
16)  Under what condition the velocity v is not zero but acceleration a is zero of a moving car.
17)  What is difference b/w uniform and variable velocity?
18) At what point or points in its path does a projectile have its minimum speed, its maximum speed.
19) A 1500 kg car has its velocity reduced from 20m/s to 15 m/s in 3.0 s. How large was the average  retarding acceleration?
20)  Define instantaneous velocity and instantaneous acceleration.
21) What is ballistic missile and ballistic trajectory?
22) What is the effect of speed of fighter plane chasing another when it opens a fire?
23) How would you find the momentum of an explosive force? Explain with an example.

Q-3  (a). Define linear momentum. Give its SI unit. State and prove the law of  conservation of   momentum.                                                                             
        (b). A football is thrown upward with an angle of 30º with respect to horizontal. To throw a 40 m
               pass what must be the initial speed of ball?                               
 Q- 4 (a) What is projectile motion? A projectile is thrown with initial velocity vi making angle θ with the horizontal.               
                 Find           (i) Maximum height                  (ii) Range of projectile                                                                                        
        (b). Find the angle of projection for which its maximum height and range are equal.          
Q-5 (a)   State and explain elastic collision in one dimension. Discuss the case
              (i) When masses of two balls are equal.          (ii) When light ball collide with massive ball
         (b)A truck weighing 2500 kg and moving with a velocity of 21 m/s collides with stationary car      
              weighing 1000 kg. The truck and car move together after the impact. Calculate their common   velocity.                                                        


Ch # 04 Work and Energy

Q-1. Encircle the correct answer of the following.                                                

1)  1 KWh is a unit of
 (a) Power                              (b) Energy                           (c) Momentum                               (d)  Impulse
2) If 16 Joules of work is done in 3 seconds then powered delivered is
(a) 6 watt                               (b) 3 watt                             (c) 18 watt                                         (d) 2 watt
3) The area under the force displacement graph represents:
(a) Work done    (b) Power                             (c) Torque                                         (d) Acceleration
4) Work done is maximum when the angle b/w force and displacement is:
(a) 00                                       (b) 450                                    (c) 900                                                (d) 1800
5) A solar cell converts light energy into:
(a) Heat energy                  (b) Chemical energy    (c) electrical energy        (d) Atomic energy
6) If the direction of force is perpendicular to the direction of motion of body, then work done is
(a) Minimum                       (b) Maximum                     (c) Zero                                             (d) Infinity
7) The force which can do no work on the body on which it act:
(a) Elastic force                  (b) Frictional force            (c) Centripetal force   (d) Gravitational force
8) Which one is renewable source of energy:
(a) Coal                                 (b) Natural gas                    (c) Sunlight                                      (d) Uranium
9) Work is negative when angle b/w force and displacement is :
(a) 00                                      (b) 450                     (c) 900                                                                         (d) 1800
10) The energy released by burning 1 liter of petrol is
(a) 1000 J                               (b) 7 x 105 J          (c) 5 x 107 J                       (d) 4 x 105 J
11) Original source of energy for biomass is
(a) Sun                                   (b) Moon                               (c) Earth                                            (d) Star
12)  Which of the following is a non-conservative force.
(a) Electric                          (b) Magnetic         (c) Frictional                                  (d)   Gravitational
13)  The SI unit of power is
                (a) Joule                       (b) Watt                         (c) Newton                                      (d) Erg 
14)  Photocell converts light energy into  
                (a) Chemical energy   (b) heat energy               (c) Nuclear energy               (d) Electrical energy   
15) Energy stored in winding spring is  
                (a) Elastic P.E.             (b) K.E.                         (c) Solar energy                               (d) Stellar energy  
16) The value of solar constant  
                (a) 0.14 kWm¯²           (b) 1.0 kWm¯²               (c) 4.1 kWm¯²                                (d) 1.4 kWm¯²                      
17) If the direction of force is perpendicular to the direction of motion of body, then work done is     
                (a) Minimum              (b) Maximum                 (c) Zero                                           (d) Infinity 
18) The SI unit of work is
                (a) Erg                        (b) Newton                      (c) Watt                                             (d) Joule   
19)  The original source of tidal energy is  
                (a) Moon                    (b) Earth                          (c) Sun                                                (d) Sea             
20) The dimensional units of ratio of work and power is
                (a) J                            (b) T                                (c) L                                           (d) KWH 
21) When sunlight passes through atmosphere, its total energy reduces due to
                (a) Reflection by dust particles          (b) Scattering by dust particles  
            (c) Absorption by dust particles         (d) All of these 
22) The value of escape velocity is
                (a) 11 kms¯¹               (b) 110 kms¯¹                  (c) 0.11 kms¯¹                                  (d) 11.1 kms¯¹
23) When the velocity of a body is doubled, its K.E become:
                (a) Same                         (b) Doubled                                (c) Four Times                            (d) Half
24) kWm-2 is the unit of
(a) Power              (b) Intensity              (c) Energy         (d) Energy per unit are
25) Which one of the following is not a conservative force  
(a) Gravitational force                         (b) Frictional force                    (c) Electric force                         (d) Elastic spring force
26) The unit of solar light intensity is
(a) Watt                                     (b) Kwm2                       (c) Wattm-2                           (d) J.m2
27) Work is negative then angle b/w F and d is
(a) 00                                       (b) 450                                    (c) 900                                                (d) 1800

Q-2. Write short answers of the following questions.                                  
1)  Define escape velocity and write its formula. What are the factors on which escape velocity depends?
2)  When an arrow is shot from its bow, it has K.E.? From where does it get K.E.?
3)  What is SI unit of power? Define it.
4)) Describe negative work with example.
5)  Calculate the work done in kilo joules in lifting a mass of 10 kg through a vertical height of 10 m.
6)  A brick of mass 2.0 kg is dropped from a rest position 5.0 m above the ground. What is its velocity at a 
      height of 3.0 m above the ground?
7)  An object has 1 J of P.E. Explain what does it mean.
8)  A girl drops a cup from certain height, which beaks into pieces. What energy changes are involved?
9)  A force of 400 N is required to overcome road friction and air resistance in propelling an automobile           
     at  80 km/h. What power (KW) must the engine develop?
10) Prove that P = F. V.
11) Give any three examples of non-conventional energy sources.
12) Describe work energy principal.
13) Define conservative force, give its one example.
14) State law of conservation of energy.
15) Define the term power and its SI unit.
16) How electrical energy can be obtained by using tides?
17) Define KWh. Show that 1 Kwh = 3.6 x 106 J.
18) How many most common methods used for the conservation of biomass into fuel. Write their name to follow a circular path.
19) How can we gain energy from tides?
20) What are the dimensions of power? Also define power.
21) What do you mean by variable force? Give two examples.

Q-3  (a). Define gravitational field. Show that work done in a gravitational field is  independent of the       
                path followed. Hence show that work done in a closed path  is zero
        (b). A 1000 kg automobile at the top of an incline 10.0 m high and 100 m long is released and rolls   
              down the hill. What is its speed at the bottom of incline if the  average retarding force due to      
             friction is 480 N?                                              
Q- 4 (a) Discuss interconversion of potential and kinetic energies in the presence of  friction.                                                                                                               
        (b). A 70 kg man runs up a long stairs in 4 s. The vertical height of stairs is 4.5 m. Calculate his power.                                                                                          
Q-5 (a)   What is absolute potential energy? Calculate the value absolute potential energy  in the 
                gravitational field?                                                                                  
        (b)  Ten bricks, each 6 cm thick and mass 1.5 kg, lie flat on the table. How much  work is required to                 
                stack them one the top of another?                                     

Ch # 05 Circular Motion

Q-1. Encircle the correct answer of the following.                                                

1)  One complete round trip of a vibrating body is called
     (a) Time period               (b) frequency           (c) Vibration          (d) Amplitude  
2)  A rotating body in a circler of radius of 1.0 m with angular speed 10 rad/s has
      tangential velocity
     (a) 2.0 m/s                    (b) 5.0 m/s                  (c) 10 m/s               (d) 20 m/s    
3)   The moment of inertia of ring or hoop is
     (a) mr²                          (b) 2/5 mr²                  (c) ½ mr²                (d) m²r  
4) Moment of inertia is measured in   
     (a) Kgm²                       (b) kgm¯²                   (c) N.s                    (d) rad/s                       
5) The angular momentum L is defined by the equation
     (a) L = mv                    (b) L = r x F               (c) L = p x r          (d) L = r x p 
6) The value of orbital radius for geostationary satellite is  
     (a) 4.23 x 104 km         (b) 4.23 x 10² km        (c) 4.23 x 104 m      (d) None    
7)  The average angular velocity is defined as   
     (a) <ω> = θt                 (b) <ω> =θt¯¹              (c) <ω> = θt¯²        (d) <ω> = tθ¯¹           
8) The time rate of change of angular displacement is called 
     (a) Linear velocity       (b) Angular velocity    (c) Angular speed   (d) None 
9) The ratio of moment of inertia of disk and hoop is
     (a) 1/4                          (b) 1/2                          (c) 3/4                     (d) 1 
10) The SI unit for angular displacement is equal to
     (a) Meter                      (b) Degree                   (c) Radian               (d) Revolution 
11) The apparent weight of a man of mass 50 kg in a lift moving upward with an acceleration 0f 9.8 m/s will be
     (a) 980 N                 (b) 580 N                   (c) 490 N               (d) Zero
12)   What happened to the moment of inertia od thin rod when its length is doubled?
(a) 1/12 ML2                (b) 1/3 ML2                   (c) ML2               (d) 1/6 ML2
13)  A hoop and a sphere of same mass and radius are rolled from top of an inclined plane, V and Vs are velocities of hoop and sphere
(a)   V > Vs             (b) V < Vs         (c) V = Vs                   (d) Vh = 2 Vs
14) The dimensions of angular acceleration are:                                                              
(a) [ LT-1]                (b) [ T -2 ]                   (c) [ T -2]               (d) [ T 3 ]
15) The minimum velocity necessary to put a sattlite into orbit os
(a) 7.1 Kms-1             (b) 7.3 Kms-1                   (c) 7.9 Kms-1              (d) 8.9 Kms-1
16) When a diver changes his body position during jumping, which of the following   quantities remains constant?
(a) Moment of inertia      (b) Angular Momentum    (c) Angular Velocity   (d) Linear Momentum
17) The waves used in communication satellites are :
(a) Radio waves             (b) Micro Waves                  (c) Infra Red waves    (d) Ultraviolet waves
18) A body is moving in a circle under centripetal force F. If its linear velocity and radius both are made
      are made twice
(a) Fc                                        (b) Fc/2                                 (c) 2Fc                                   (d) 4Fc
19) The angular displacement of one revolution is equal to:
(a) 1 Radian                            (b) π Radian                   (c) π/2 Radian               (d) 2π Radian
 20) The apparent weight of a man in a lift moving down with an acceleration of 9.8 m/s2.
(a) Zero                (b) Infinite                   (c) 19.6 N                         (d) 9.8 N
21) SI unit of angular displacement is
(a) Meter                                (b) Degree                   (c) Revolution               (d) Radian
22) The angular momentum is given                                                                                      
(a) m W                                  (b) w x r                                   (c) r x F                 (d) r x P
23) One Geo Stationary satellite covers a longitude of
(a) 2700                                    (b) 1200                               (c) 900               (d) 3600
24) If angular velocity of particle rotating in a circle is doubled then its moment of inertia
(a) Remains Same            (b) Becomes Half           (c) Becomes Doubled      (d) Becomes 4 times
25) The height of a geostationary satellite above the equator is
(a) 6.4 x 106 m              (b) 3.6 x 107 m                   (c) 3.6 x 10-7 m               (d) 6 x 1024 m
26) International Telecommunication Satellite Organization operates at microwave frequency of
(a) 4, 6, 8 & 10 Hz            (b) 4, 6, 11 & 14 Hz                  (c) 4, 6, 8 & 12 Hz               (d) 4,8,11 & 16 Hz
27) Weight of 60 Kg man in moving elevator downward with constant acceleration of 1/2g ( g =10 ms-2)
(a) zero                                 (b) 600 N                              (c) 300 N                             (d) 200 N
28) Weight of the body at the center of the earth is
(a) Minimum              (b) Maximum                                 (c) Zero                           (d) Infinite
29) Satellites are the objects that orbit around the
(a) Moon              (b) Sun                                    (c) Earth                              (d) Star

30) The SI unit of angular momentum is 
(a) J.S-2              (b) J.S-1                                            (c) J.S                              (d) J.m
31) The dimensions of angular velocity are:
(a) [ LT-1]                (b) [ T -2 ]                   (c) [ L -1T ]                                          (d) [ T -1 ]
32) The dimensions of moment of inertia are
(a) [M L2]                (b) [M T -2 ]                   (c) [ ML-1 ]               (d) [ M2 L ]
33) Angular velocity is measured in
(a) m/s                (b) rev/mint                   (c) rad/s                                      (d) rad/mint
34) Direction of angular acceleration is
(a) Along the tangent to the circle                (b) Along the radius towards the center     
 (c) Along the radius from center                  (d) Along the axis of rotation
35) Moment of inertia of a sphere is
(a) 1/2mr2                                             (b) 2/5 mr2                   (c) 2/5 mr3               (d) 1/3 mr2
36) The value of time period of low flying satellite is
(a) 1 Year                                              (b) 84 minutes                   (c) 28 hours               (d) 1 day
37) A wheel of diameter 1 m makes 60 rev/min. The linear speed of a point on its rim in m/s is
(a) π                                                       (b) π /2                                 (c) 2 π               (d) 3 π
38) One revolution is equal to
(a) 2π radian                                      (b) π rad                               (c) π/2 rad               (d)  π/4 rad
39) Close orbiting satellites orbit the earth at a height of about
(a) 400 km                                           (b) 4000 km                        (c) 400 m               (d) 400 cm
40) Speed of moon around the earth is
     (a) 1200 m/s                                                  (b) 1100 m/s                          (c) 1000 m/s            (d) 900 m/s
41) The value of g at the center of the earth is
     (a) Infinite                                                      (b2g                                         (c) 3g                     (d) Zero

Q-2. Write short answers of the following questions.                                  

1)  Why does a diver change his body positions before and after diving in the pool?
2)  What is meant by moment of inertia?
3)  Describe what should be the minimum velocity for a satellite, to orbit close to the earth around it?
4)  A disk rolls down a hill of height 10.0 m. What is its speed at the bottom?
5)  A disk and hoop start moving down from the top of an inclined plane at the same speed. Which one will be   
      moving faster on reaching   the bottom?
6)  Prove that 1 Radian = 57.3º
7)  Can a body move along a circle without centripetal force?
8)  What are Geo-Satellite? Describe the uses of Geo- Stationary satellite.
9)  Is any work done by centripetal force?
10) When mud flies off the tyre of a moving bicycle, in what direction does it fly? Explain.
11) Define radian and prove that S = rθ and v = rὠ
12) A minute hand of clock is 3 m long. What is its mean angular velocity? 
13) What do you mean by orbital velocity and artificial velocity?
14) Explain how many minimum number of Geo-Stationary satellites are required for global coverage of  TV       
        Transmission.
15) Explain why Earth’s satellite despite of being falling freely object does not reach the earth?
16) Relate how orbital speed of satellite depends upon its radius.
17) What are satellites and how they move around the earth?
18) How is artificial gravity created?
19) Explain b/w tangential velocity and angular velocity.
20) What are synchronous satellites? What are its uses?
21) What is the difference b/w real and apparent weight?

Q-3  (a). Derive an expression for Centripetal force.                                                     
        (b). What is the least speed at which an aeroplane can execute vertical loop of 1.0  km radius so that there     
                will be no tendency  for the   pilot to fall down  at highest point
 Q- 4 (a) Define artificial gravity. Derive an expression for frequency by which spaceship  rotates.                                                                                                              
        (b). Calculate the angular momentum of a star of mass 2.0 x 10³º kg and radius 7.0 x 105 km. If it makes one 
               complete rotation about its axis once in 20 days,  What is its K.E.?                                                                                             
Q-5 (a)   Define rotational K.E. Derive its formula also find the rotational kinetic   energies of disk and hoop.                                                                                                                                                                                                                                                                       
       (b)  A 1000 kg car traveling with a speed of 144 km/h rounds a curve of radius 100 m. Find the necessary        
               centripetal force.                                                    
Ch # 06 Fluid Dynamics

Q-1. Encircle the correct answer of the following.                                                

1)  The frictional effect b/w different layers of moving fluid is called 
     (a) Density                          (b) Pressure               (c) Force                      (d) Viscosity   
2)  The more viscous liquid is
     (a) Water                             (b) Honey                  (c) Coal tar                 (d) Benzene
3)   The equation F = 6πηrv is called
     (a) Stock’s law                     (b) Newton’s law       (c) Ohm’s law            (d) Faraday’s law   
4) The SI unit of viscosity is   
     (a) Nsm¯²                             (b) Ns¯²m¯²               (c) N²ms                     (d) Ns¯¹m¯¹                      
5) Human blood pressure is measured in 
     (a) Nm²                                (b) mm                      (c) Pascal                    (d) torr 
6)   If cross sectional area of a pipe decreases, the speed of fluid must increase according to  
     (a) Venturi relation                        (b) Bernoulli’s equation      
    (c) Equation of continuity              (d) Torricelli’s theorem    
7)  The smooth and or steady stream line flow is called
     (a) Turbulent flow                (b) Laminar flow      (c) regular flow           (d) None            
8) In equation of continuity the unit of Av is given as
     (a) m³                        (b) m³s¯¹                   (c) m²s¯¹  (d) m²                   
9) Normally human blood density is equal to 
     (a) 111 kgm¯³                      (b) 133.3 kgm¯³        (c) (80-120) kgm¯³     (d) Water density 
10) 1 torr = 
     (a) 133.3 Nm¯²                   (b) 123.3 Nm¯²         (c) 333 Nm¯²              (d) 333.3 Nm¯²                    

11)  The venture meter is used to find:
     (a) Speed of the fluid        (b) Density of the fluid       (c) Viscosity of fluid       (d) Pressure of the fluid
12) The lower reading of blood pressure is called
     (a) Systolic Pressure         (b) Diastolic Pressure       (c) Normal Pressure          (d) None
13) Blood pressure is measured by
     (a) Hydrometer                    (b) Barometer    (c) Galvanometer            (d) Sphygmomanometer
14) Venture relation is given as
     (a) P1 – P2=1/2 ρv22        (b) P = 1/2ρv2       (c) P1 – P2=1/2ρv12 - 1/2 ρv22        (d) v2 = √2g(h1 – h2)   
15) The device used for the measurement of liquid flow is
     (a) Hydrometer        (b) Barometer    (c) Manometer               (d) Venturimeter
16) When a body is fallig under the action of gravity with terminal velocity, its acceleration is
     (a) Constant             (b) Zero                      (c) Variable            (d) 9.8 ms-2
17) Which of the following has maximum viscosity?
     (a) Air                      (b) Water                      (c) Acetone            (d) Glycerin
18) The SI unit of viscosity is :
     (a) Kgm-1 s-1              (b) Kgms-1                     (c) Kgm-1s            (d) Kgms
19) The law of conservation od mass is given by
     (a) Bernoulli’s equ.        (b) Equ. Of continuity    (c) Torricelli’s Theorem            (d) None
20) Torr is unit of
     (a) Power                 (b) Energy                      (c) Pressure            (d) Energy
21) The unit of flow rate is given by
     (a) m2 /s                  (b) m/s                          (c) m3 /s            (d) m3
22) The systolic pressure of a normal healthy person is
     (a) 120 torr                          (b) 125 torr                    (c) 115 torr            (d) 110 torr

Q-2. Write short answers of the following questions
1)  Explain what do you mean by the term viscosity?
2)  Two row boats are moving parallel in the same direction are pulled towards each other. Why?
3)  Explain, how swing is produced in a fast moving cricket ball?
4)  Why fog droplets appear to be suspended in air?
5)  State the Stock’s law and write it’s mathematically formula.
6)  Explain the difference b/w laminar flow and turbulent flow.
7)  A person is standing near a fast moving train. Is there any danger that he will fall towards it?
8)  Water flows through a hose, whose internal diameter is 1 cm at a speed of 1 m/s.What should be the     
      diameter of nozzle if the water is to emerge at 21 m/s?
 9)  State the Torricelli’s theorem with diagram.
10) What gauge pressure is required in the city mains for a stream from a fire hose connected to mains 
      to   reach a vertical height of 15.0 m.
11) Briefly explain Viscous Drag.
12) What is the function of a venture duct in the carburetor of car?

Q-3  (a). State and prove Bernoulli’s theorem.                                                                 (5)                                                                         
        (b). How large must a heating duct be if air moving 3.0 m/s along it can be replenish
               the air in a room of 300 m³ volume every 15 minutes? Assume the air’s density 
              remains constant.                                                                                                 (3)                                                                                            

Q- 4 (a)  State and explain equation of continuity.                                                           (5)                                                                                                                                                                                                                                                                                                  
        (b). Certain globular protein particle has a density of 1246 kgm¯³. It falls through
               pure water ( η = 8.0 x 10-4 Nm¯²s) with a terminal velocity of 3.0 cm/h. Find the  
               radius of the particle                                                                                           (3)

Q-5 (a)   Define terminal velocity. Derive an expression for terminal velocity.              (5)                                                                                                                                                                                                                   
       (b)  An air plane wing is designed so that when the speed of air across the top wing is
              450 m/s, the speed of air below the wing is 410 m/s. What is pressure difference 
              b/w the top and bottom of the wings if density of air is 1.29 kgm¯³?                 (3)                                                                                      

Ch # 07 Oscillations


Q-1. Encircle the correct answer of the following.                                                

1)  In SHM, the restoring force is directly proportional to  
     (a) Velocity              (b) Acceleration      (c) Frequency                   (d) Time period    
2)  The angle θ = ωt which specifies the displacement of the point executing SHM is known as
     (a) Solid angle          (b) Plane angle        (c) Critical angle              (d) Phase angle
3)   The cooking and heating of food by microwave oven is an example of
     (a) Resonance           (b) SHM                  (c) Damped oscillation    (d) None    
4) The total energy of a particle executing SHM at any displacement x is given by
     (a) kx                        (b) kx/2                    (c) kxº                              (d)  kxº/2                   
5) The product of time period and frequency is
     (a) Zero                     (b) One                    (c) π                                 (d) None
6)   The oscillations in which amplitude decreases steadily with time are called
     (a) Natural oscillations              (b) Free oscillations
    (c) Forced oscillations                (d) Damped oscillations
7)  The waves produced in microwave oven have frequency
     (a) 2450 Hz               (b) 2550 Hz             (c) 1200 Hz                     (d) 2400 Hz             
8) Total energy of a vibrating body executing SHM at extreme position is
     (a)  K.E.                    (b) P.E.                    (c) Both K.E and P.E.      (d) None                    
9) Unit of frequency is  
     (a)  Hz                       (b) Newton                                 (c) N.s                              (d) Kgm¯¹ 
10) The force which bring back the body to its original position is called
     (a) Frictional force    (b) Restoring force                           (c) Damping force            (d) None   
11) Keeping the length constant and doubling the mass of the bob, the time period of the pendulum will be                 
 (a) Doubled       (b) Become four time    (c) Remain constant         (d) None
12) Dimensions of angular velocity are
[ LT -1 ]                   (b) [ T-1 ]                               (c) [ L -1T ]            (d) [ L -1T -1
13) The instantaneous velocity of the spring mass system is
(a) PEmax= 1/2kx02    (b) PE = 1/2kx02           (c) PE = 1/2kx2     (d) PE = 1/2k2x
14)    Units used for factor √l/g  may be
(a) Meter                              (b) Second                          (c) Kilogram           (d) Radian
15) The angular frequency can be expressed as:
(a) ω = 2π/T                         (b) ω = T/2π                         (c) ω = 2ωT           (d) ω = 2T/ω
16) The acceleration of a body preforming and time is :
(a) 1                                        (b) 2                                        (c) 3           (d) 4
17) The acceleration of a body performing SHM depends upon its:
(a) Mass                               (b) Time Period                  (c) Amplitude          (d) Displacement
18) The time period of a wave is 0.2 s. Its frequency will be
 (a) Doubled          (b) Become four time                   (c) Remain constant           (d) None
19) If the period of a simple pendulum, its amplitude will become
(a) Unaffected                   (b) Doubled                      (c) Half                      (d) 1.41 as larg
20) 10 cm extension is produced in a spring due t o a force of 20 N. The spring constant is
(a) 2 N/m             (b) 20 N/m                           (c) 200 N/m             (d) 2000 N/m
21) The frequency of second pendulum is
(a) 1 Hz                                   (b) 2 Hz                               (c) 0.3 Hz           (d) 5 Hz
22) Acceleration of projection of a particle moving around a circle is a given by relation:
(a) a = -gx/l                          (b) a = -ω2x                        (c) a = -kx/m          (d) a = -gsinθ
23) When wave is reflected from the boundary of a denser medium then phase of wave changes by:
(a) 00                       (b) 900                                 (c) 1800                      (d) 2700
 24) The distance covered by wave in 1 second is
(a) Wave number   (b) Wavelength         (c) Frequency           (d) Wave speed
25) If amplitude of simple pendulum is increased by 4 times then time period will be
     (a) Four times           (b) Half                                        (c) Same            (d) Two Times
26) The velocity o sound in vacuum is
     (a) Zero                            (b) 332 m/s                           (c) 280 m/s            (d) 330 m/s

Q-2. Write short answers of the following questions
1)  Does the frequency depend on the amplitude for harmonic oscillator?
2)  If a mass spring system is hung vertically and set into oscillations, why does the motions eventually  stops?
3)  A block of mass 4.0kg is dropped from a height of 0.80m on to a spring of spring 
     constant k = 1960 N/m, Find the maximum distance through which the spring will be  compressed
4)  What happens to the period of a simple pendulum if its length is doubled?
5)  Can we realize a simple pendulum?
6)  Define resonance with examples.
7)  Define frequency and time period. Give relation b/w them.
8)  A simple pendulum is 50 cm long. What will be its frequency at a place where g = 9.8m/s
 9)  Does the acceleration of a simple harmonic oscillators remain constant during its  motion? Is the
      acceleration ever zero? Explain.
10) Define SHM. List two characteristics of SHM.
11) At what distance from the mean position of a simple harmonic oscillator its KE will become half of its
       maximum value?
12) Would you keep the amplitude of simple pendulum small or large?
13) What are damped oscillations? What happens to the energy in damping? Sketch a graph b/w amplitude
      and time for damped and undamped oscillations.
14) What is meant by phase angle?

Q-3  (a). What is simple pendulum? Show that its motion is SHM. Derive an expression for its time period.                                                                                             
        (b). A 100g body hung on a spring elongates the spring by 4.0 cm. When a certain  object is hung on
              the spring and set vibrating, its period is 0.568 s. What is the  mass of the object pulling the spring?                                                              

Q- 4 (a) Derive an expression for the K.E. and P.E. of a spring mass system executing SHM. Also prove that
               its total energy remains constant.                                   
        (b). An 8.0 kg body execute SHM with an amplitude 30 cm.The restoring force is 60 N when the 
               displacement is 30 cm. Find its period of oscillation.              

Q-5 (a)   Discuss the motion of a horizontal mass spring system. Derive expression for its  time period, 
               instantaneous displacement, instantaneous velocity and maximum  velocity.                                                                                                             
        (b)   Find the amplitude, frequency and period of an object vibrating at the end of a spring, if the
                equation for its position, as a function of time is  X = 0.25 cos [π/8] t   What is the displacement of the        
                 object  after 2.0s?                                             

Ch # 08 Waves

Q-1. Encircle the correct answer of the following.                                                

1)  Lowest position of a wave is called  
     (a) Node                   (b) Crest                      (c) Trough               (d) Compression     
2)  The speed of sound in air at 00 C is approximately equal to
     (a) 332 m/s               (b) 222 m/s                (c) 332  cm/s               (d) 0 m/s 
3)   The distance b/w a node and antinode is 
     (a)  λ                         (b) λ/2                        (c) λ/4                      (d) 3 λ/4    
4) The blue of the sky is due to 
     (a) Diffraction          (b) Polarization          (c) Scattering           (d) Refraction                    
5) It is possible to distinguish b/w transverse and longitudinal waves from the property of
     (a) Refraction           (b) Interference          (c) Diffraction         (d) Polarization
6)   Sound waves cannot travel through 
     (a) Air                      (b) Water                    (c) Vacuum              (d) Material medium 
7)  Stationary waves are generated on a string of length “l” .Its fundamental frequency is
     (a) f1 = v ×l              (b) f1 = v/2l                 (c) f1 = 2(v ×l)         (d) f1 = 2l/v            
8) Radar is a device which transmits and receives 
     (a)  Microwaves       (b) Radio waves         (c) Light waves       (d) None                    

9) Unit of frequency is  
     (a)  Hz                      (b) Newton                 (c) N.s                     (d) Kgm¯¹ 
10) Stars moving away from the earth show 
     (a) Blue shift            (b) Green shift            (c) Red shift            (d) Yellow shift
11) Half wavelength corresponds to
     (a) 00            (b) 1800            (c) 900            (d) 3600
12) Beats can be heard when difference of frequency is not more than
     (a) 8 Hz            (b) 10 Hz            (c) 4 Hz            (d) 6 Hz
13) Two waves of equal frequency travelling in opposite direction produce
     (a) Interference            (b) Stationary waves            (c) Beats        (d) Doppler Effect
14) Diffraction is a special type of
    (a) Interference         (b) Polarization         (c) Reflection          (d) Refraction
15) Longitudinal waves are also known as
     (a) Stationary waves           (b) Transverse waves     (c) Compressional waves   (d) EMW
16) When wave is reflected from a boundary of denser medium then phase of wave change by
(a) 00            (b) 1800            (c) 900            (d) 2700
17)  A set of frequencies which are multiple of the fundamental frequency are called
(a) Doppler Effect       (b) Nodal Frequencies          (c) Beat frequencies       (d) Harmonics
18) The pitch of sound depends upon 
 (a) Intensity         (b) Loudness          (c) Wavelength        (d) Frequency
19) For same mass and length if tension of vibrating string is increased by four times, the speed of wave           
      increased by
(a) 2 times           (b) 4 times        (c) 6 times        (d) √2 times
20) Beats are used to find
(a) Intensity         (b) Speed          (c) Wavelength        (d) Frequency
21) Speed of sound in air depends upon
(a) Temperature         (b) Humidity          (c) Density        (d) All of these
22) On increasing the tension, frequency of vibration of string
(a) Increases         (b) Decreases          (c) Remains same       (d) First increase then decrease
23) The speed of sound has maximum value in
             (a) Helium         (b) Hydrogen          (c) Air                                    (d) Oxygen
24) The error in the value of speed of sound calculated by Newton’s at STP is about
                (a) 14 %         (b) 15 %                       (c) 16 %                                 (d) 20 %
25) An organ pipe is 5 cm long with one end closed, its fundamental frequency will be
                (a)   250 Hz           (b) 330 Hz        (c) 360 Hz                                    (d) 350 Hz
26) If speed of sound in air at a given pressure is V, then by increasing the pressure to double,
the new speed  will be
             (a) 0.5 V                                   (b) 1 V                                     (c) 2 V                                      (d) 4 V
27) Two waves can interfere only if  they have
            (a) Phase coherence    (b) Same velocity     (c) Different frequencies      (d) Different wavelength
28) For each degree rise in temperature (in Celsius ) the speed of sound in gases increases by
        (a) 0.61 cm/s      (b) 61 m/s                                    (c) 6.1 m/s      (d) .61 m/s
29) The wavelength of stationary waves in second mode in a string of length L is equal to
        (a) 2 L               (b) L                                    (c) L/2                                   (d) L/4
30) Periodic increase or decrease in loudness of sound is called
          (a) Resonance        (b) Interference                                   (c) Beats                             (d) Diffraction
31) The temperature at which the velocity of sound in air is two times its velocity at 100 C is
          (a) 1321 K       (b) 1213 K       (c) 1132 K                                              (d) 1231 k
32) The speed of sound is independent of
        (a) Medium       (b) Source of sound          (c) Pressure                 (d) Temperature
33) Wavelength of fundamental mode of vibration of closed pipe end  is
     (a) L                   (b) 2L                       (c) L/2                                   (d) 4l
34) The distance b/w two adjacent dark or bright fringes is
     (a) ∆y = L λ/d                  (b) ∆y = λ/d                           (c) ∆y = d λ/L                   (d) ∆y = L λd       
35) In stationary waves the points which always remains at rest are
     (a) Nodes                        (b) Antinodes      (c) Crest            (d) Trough
36) The speed of sound in aluminum at 200 is
     (a) 3600 m/s                   (b) 5100 m/s                         (c) 5130 m/s            (d) 5500 m/s

Q-2. Write short answers of the following questions

1)  Define stationary waves.
2)  Write any two uses of Doppler Effect.
3) A transverse wave has a speed of 200 m/s. Find the wavelength of the wave   if ƒ = 1 KHz
4)  How are beats useful in tuning musical instruments?
5)  Define transverse waves .Give an example.
6)  Define node and antinode.
7)  Why sound travels faster in warm air than in cold air?
8)  Write the formula of speed of sound at 0 Cº
 9)  Define progressive waves with examples.
10) Why does sound travel faster in solids than in gases?
11) A church organ consists of pipes, each opens at one end of different lengths. The   minimum length is 30 mm and longest is 4 m. Calculate the frequency of its  fundamental notes (speed of sound is 340 m/s)
12) Write any two cases of superposition of waves.
13) What is the effect of pressure and temperature on the speed of sound?

Q-3  (a). What is principle of superposition? State and explain the term Beats.          
        (b). Find the temperature at which the velocity of sound in air is two times its   velocity at 10 ºC.                                                                                             
 Q- 4 (a) How Laplace corrected the Newton’s formula for speed of sound in air.                                                                                                                                                                                                                                                                                                                                                                               
        (b). The frequency of the note emitted by a stretched string is 300 Hz. What will be  the frequency 
               of this note when length of the note is reduced by 1/3 without   changing the tension.                                                                                      
Q-5 (a)  Discuss the stationary waves produced in a stretched string.                                                                                                                                                                                                                                                                           
       (b)  A train approaching a station at 90 km/s sounding a whistle of frequency 1000 Hz. What will be 
           the apparent frequency of the whistle as heard by a listener sitting on the platform?                                                                                                                                                              



Ch # 09 Physical Optics

Q-1. Encircle the correct answer of the following.                                               

1)  The instrument which is used to measure the speed of light was developed by
                  (a) Newton                   (b) Huygen                  (c) Michelson               (d) Galileo      
2)  The equation 2dsinθ = nλ denotes:
                (a) Huygen principle    (b) Braggs equation     (c) Young’s equation   (d) None 
3)   When Newton’s ring are observed with reflected light then central spot is  
                 (a)  Bright                    (b) Black                      (c) Blue                         (d) Red 
4) The blue of the sky is due to 
                  (a) Diffraction             (b) Polarization             (c) Scattering               (d) Refraction                    
5) In young’s experiment the fringe spacing is equal to
                  (a) d/λL                       (b) 2 λL/d                     (c) λL/d                         (d) 2 λL/d
6)   The path difference “d” for construction interference should be  
                  (a) λ/2                         (b) m λ                          (c) 3 λ/d                         (d) 5 λ/d 
7)  Phase angle of 180º is equivalent to a path difference of 
                  (a) λ                            (b) λ/2                           (c) λ/4                            (d) 2 λ           
8) Light from sun reaches the earth in the form of  
                   (a)  Cylindrical wave fronts             (b) Spherical wave fronts     (c) Plane wave fronts    (d) None                    
9) Wavelength of X – rays is   
                  (a)  10−¹º m                (b) 10¹º m                     (c) 10−¹º cm                  (d) None
10) Wave theory was presented by  
                 (a) Newton                 (b) Huygen                   (c) Young                     (d) Bragg
11) Longitudinal waves do not exhibit
                (a) Polarization                 (b) Refreaction              (c) Reflaction               (d) Diffraction
12) In case of X-ray diffraction by crystal the wavelength can be found by using the equation
(a) dSin θ = nλ                 (b) 2dSinθ= nλ                  (c) 2dCosθ = nλ  (d)  dCos θ= nλ
13) What happens to the interference pattern produced by double slit experiment by doubling the slit 
        spacing
(a) Fringe spacing is doubled       (b) Fringe spacing is halved               
                  (c) Intensity increases                     (d) Fringe spacing is not changed
14) The appearance of colors in thin film is due to
(a) Diffraction                    (b) Interference                (c) Dispersion            (d) Polarization
15) Michelson interferometer is used for
(a) Measure the distance with higher precision          (b) Find speed of light    
              (c) Study interference in thin films                      (d) Study diffraction of light
16) Brilliant and beautiful colors in soap bubbles are due to
(a) Diffraction                                   (b) Polarization            (c) Interference                  (d) Reflection
17) Optical rotation , a property of optically active substances can be used to determine their
(a) Density                                          (b) Viscosity            (c) Elasticity         (d) Concentration in solutions
18) In diffraction grating , distance b/w the two adjacent slits is called
(a) Grating element                (b) Normal to grating              (c) Fringes        (d) Diffraction

19) The equation of Michelson interferometer is
(a) L = mλ/2                                         (b)  L = mλ/4               (c)  L = mλ                  (d) L = 2mλ
20) Which one of the following media can transmit both transverse and longtudunal waves
(a) Solid                                                (b) Loquid            (c) Plasma                     (d) Gas
21) The distance b/w two adjacent dark fringes is given by
(a) ∆ y = λL/d                                        (b) ∆ y = mλL/d            (c) ∆ y = [m+1/2] Lλ/d       (d) ∆ y = λd/L
22) The technique used to study the structure of hemoglobin is
(a) X-ray diffraction         (b) Newton’s rings              (c) Polarization   (d) Inference
  
Q-2. Write short answers of the following questions.                                  

1)  Define wave front.
2)  Why the Polaroid sunglasses are better than ordinary sunglasses.
3) What is the difference b/w interference and diffraction?
4)  Can visible light produce interference fringes? Explain.
5) An oil film spreading over a wet foot path shows colours. Explain how does it happen?
6)  How is the distance b/w interference fringes affected by the separation b/w the slits of Young’s 
     Experiment? Can fringes disappear?
7)  How would you distinguish b/w un-polarized and plan polarized light.
8)  Define grating element. Write its formula.
 9)  Could you obtain Newton’s ring with transmitted light? Explain.
10) State Huygen’s principle.
11) Write down the two methods by which we can obtain plane polarized from unpolrized beam of light .
12) Why the polaroid sunglasses are better than ordinary sunglasses.?
13) What is thin film? Upon what factors does the interference in this film depend?
14) Define ray of light.

Q-3 (a) Explain Young’s double slit Experiment. Derive an expression for fringe  spacing.                                                                                   
       (b) A light is incident normally on a grating which has 2500 lines/cm. Compute the  wavelength of a  
              spectral line foe which the deviation in second order is 15º.   

Q- 4 (a) Describe the principle, construction and working of Michelson interferometer. How can you find
              the  wavelength of light used?                                               
        (b). Light of wavelength 450 nm is incident on a diffraction grating on which 5000 lines/cm have 
              been  ruled. How many orders of spectra can be observed on either side of the direct beam?          

Q-5 (a) What is diffraction grating? How it is used to determine the wavelength of the  light used?
 Derive  its formula. 
                                                              OR
                  Define diffraction of light. Explain diffraction of x-rays by crystal and derive Bragg’s equation.                                                                                                 
       (b)  In a double slit experiment the second order maximum occurs at θ = 0.25º. The Wavelength is 
               650nm. Determine slit separation                                               

Ch # 10 Optical Instruments

Q-1. Encircle the correct answer of the following

1)  The magnifying power of a simple microscope is
     (a) M = q/p                (b) M = 1 + q/p          (c) M = f/q          (d) M = 1 + d/f      
2)  Power of any lens would be one diopter when its focal length is
     (a) 1.0 m                    (b) 1.0 cm                  (c) 10 cm             (d) 2 m  
3) The value of critical angle for glass - air boundary is   
     (a) 41.8º                     (b) 41.5º                     (c) 42.8º              (d) 42º  
4) Magnifying power of astronomical telescope is given by   
     (a) fo/fe                      (b) fo x fe                   (c) fo + fe           (d) fo - fe                
5)  An astronomical telescope is made with objective of focal length 100 cm and an eye piece of focal length
      5.0   cm . The length of telescope when focused for infinity is 
     (a) 95 cm                    (b) 105 cm                 (c) 20 cm            (d) None
6) Near point of normal human eye is
     (a) 25 cm                   (b) 25 m              (c) 0 cm      (d) Infinity
7) Where is the final image formed when an astronomical telescope is in normal adjustment?
     (a) At the focal point of the objective  (b) At infinity (c) At the focal point of eye piece (d) At the distance equal to f o+ f e
8) An astronomical telescope having magnifying power of 5 cm consist of two thin lenses 24 cm apart.
The  length  of the lenses is
     (a) 4 cm     (b) 20 cm                 (c) 16 cm         (d) None
9) At compound microscope forms final image at
     (a) Least distance of distinct vision        (b) Focus of eye piece    (c) Focus of objective   (d)   Infinity
10) The resolving power of an instrument is its ability to
     (a) Reveal the minor details of the object                  (b) Enlarge the image of the object       
     (c) Make the image at near point                               (d) Find the refractive index
11) If N is the number of rulings on the grating then the resolving power in the mth order diffraction is equal to
     (a) R = Nm               (b) R = N/m           (c) R = 1/Nm          (d) R = m/N
12) If d is least distance of distinct vision , then magnification of convex lens of focal length f will be
     (a) 1 + d/f                 (b) 1 – d/f                 (c) 1 + d/f            (d) 1 – d/f
13) The ratio of the size of image to the size of object is called
     (a) Focal length                  (b) Visual power                 (c) Resolving power           (d) Elasticity
14) In the multimode step index fiber, density of the optical material decreases form
     (a) Edges to core               (b) Core → Edge             (c) Even          (d) Multiple
15) Glass air boundary acts as
     (a) Mirror                 (b) Glass              (c) Water        (d) Air
16) The image formed by simple microscope is
     (a) Real and inverted                    (b) Erect and virtual            (c) real and erect            (d) Inverted and virtual
17) Using a graded index fiber, the time difference is reduced to about
     (a) 33 ns per 100 km                 (b) 33 ns per km      (c) 1 ns per km        (d) 1 ns per 100 km
18) Multimode step index fiber is useful for
     (a) Long distance               (b) Short distance              (c) Very long distance         (d) Infinite distance

19) The optical fiber is covered for protection by
     (a) Glass Jacket     (b) Plastic Jacket                (c) Copper Jacket      (d) Aluminum Jacket
20) If magnifying power of magnifying glass is 3, then its focal length will be
     (a) 25 cm                  (b) 12.5 cm             (c) 5 cm           (d) 3 cm
21) Repeaters are placed in the new system at  a distance of
     (a) 30 /Km              (b) 50 /Km              (c) 80 /Km       (d) 100 /Km
22) Why do we use a laser for sending a signal  along a mono mode fiber?
     (a) The laser has very narrow band of wavelength             (b) The core has low  refractive index to laser light             
     (c) The light produced is faster than from any other source of light
     (d) The electrical signal can be transferred quickly using a laser
23) Where is the final image formed when an astronomical telescope is in normal adjustment?
     (a) At the focus of objective              (b) At the focus of eye piece             
     (c) At infinity                                     (d) At a distance equal f o + f e
24) If n1 and n2 are refractive indices of core and cladding, then for light through optical fiber:
     (a) n1> n2             (b)   n1< n2                        (c) n1= n2             (d) None of these
25) The Snell’s law is expressed as
    (a) n1 Sinθ1 = n2Sinθ2            (b)  n1 Sinθ2 = n2Sinθ1      (c) n1 Cosθ1 = n2Cosθ2      (d) n1/Sinθ1 = n2 /Sinθ2
26) How many types of optical fibers are
     (a) One                  (b) Two             (c) Three           (d) Four
27) Which of the phenomena of light is utilized in propagation of light through optical fibers?
     (a) Total internal refraction                (b) Total internal reflection             (c) Polarization           (d) Interference
28) If the focal length of objective and eyepiece is 0.5 cm and 10 cm respectively, then magnifying power of 
      telescope will be
     (a) 5                  (b) 0.5 cm             (c) 10 cm           (d) 20 cm
29) The light emitted from LED has a wavelength
     (a) 1.3 μ m              (b) 1.2 μ m             (c) 1.4 μ m          (d) 1.5 μ m

  Q-2. Write short answers of the following questions.                                  

1) Why would it be advantageous to use blue light with compound microscope?
2) How power is lost in optical fibers through dispersion?
3) What is the principle of optical fiber?
4) Why objective of short focal length is preferred in microscope?
5) Write different types of optical fibers.
6) Describe with the help of diagram, how biconvex lenses are arranged to form a  microscope.
7) How light signal is transmitted through optical fiber?
8)  Name three essential components of spectrometer.
9)  Define   (i) Refractive index                          (ii) Snell’s law
10) Define (i) Least distance of distinct vision  (ii) Critical angle.
11) Find the difference b/w angular magnification and resolving power of an instrument
12) In simple microscope, the focal length of its lens is (1/5)d, where d is least distance of distinct vision.
      Find the  magnifying power.
13) Calculate the critical angle for optical fiber having core of refractive index 1.5 and cladding of refractive index1.48
14) How is power lost in optical fiber through dispersion?
15) Draw sketch showing the different light paths through a single mode and multimode fiber.

Q-3 (a) Explain the construction and working of compound microscope with the help of  ray diagram?
             Derive  an expression for its magnification.                                
       (b) The refractive index of core and cladding of optical fiber are 1.6 and 1.4 respectively. Calculate the 
              Critical angle for the interface.                                
Q- 4 (a) What is simple microscope? Derive an expression for the magnifying power of  simple microscope.                                                                                                                                                                                                                                                                                                                                                                                                                           
        (b). A compound microscope has convex lens of focal length 1.0 cm as an objective and a convex lens of
               focal length 3.0 cm as eye piece . An object is placed from the objective lens. If virtual image is 
              formed  25 cm from the eye,Calculate  the separation of lenses and magnification the instrument.               
Q-5 (a) Describe Michelson‘s experiment for determining the speed of light.              
        (b)  An astronomical telescope having magnifying power of 5 consists of two lenses 24 cm apart. Find the 
                focal lengths of the lenses.                                              

Ch # 11 Heat & Thermodynamics

Q-1. Encircle the correct answer of the following.                                                

1)  The graph b/w V and T at constant pressure is
     (a) Parabola                     (b) Hyperbola       (c) Straight                     (d) Curve       
2) In isothermal process, one of the following is constant
     (a) Temperature               (b) Volume           (c) Pressure                    (d) Heat   
3)  Temperature of -273 Cº on Kelvin scale is  
     (a)  273 Kº                       (b) 373 Kº             (c) -273 Kº                     (d) Kº
4) In reversible process the entropy 
     (a) Remains constant                (b) Increases       
     (c) Decreases                            (d) Initial increase then decrease                
5)  The amount of heat required to melt one kg of ice at 0 Cº is called 
     (a) Heat capacity                      (b) Latent heat of fusion of ice   
     (c) Heat of vaporization           (d) None
6)   At constant temperature, if volume of a given gas is doubled then density of the gas  becomes 
     (a) Double                        (b) ¼ of original          (c) ½ of original      (d) Unchanged   
7) Carnot cycle is  
     (a) Reversible                  (b) Irreversible      (c) Both                          (d) None             
8)  A heat engine performs 100 J of work and at the same time rejects 400 j of heat  
      energy to the cold reservoir. Efficiency of the engine is   
     (a) 60 %                           (b) 40 %                (c) 30%                          (d) 20%                   
9) The average translational K.E. of the molecules in a gas at 12 Cº is 
     (a) 6.21 x 10−²¹ J             (b) 6210 J              (c) 6100 J                       (d) None
(10) The value of universal gas constant R  is
     (a) 8.314 x 10¹¹ Jmol−¹K−¹      (b) 8.314 Jmol−¹K−¹ 
     (c) 8314 Jmol−¹K−¹                 (d) None 
11) For a diatomic gas Cv = (5/2)R, therefore γ for this gas is
     (a) 5/7          (b) 4/35             (c) 7/5                 (d) 35/4
12) An ideal reversible heat engine has
     (a) 100 % efficiency                                         (b) Highest efficiency
      (c) An efficiency that depends upon the nature of the working substance            (d) None
13) One of the following is true for Carnot engine
     (a) η =  1          (b) η >1        (c) η <1                   (d) Power is max
14) Which one is true for an isothermal process?
     (a) Q = W             (b) Q = 0             (c) W = 0                (d) W = ∆u
15) Internal energy of a substance is directly proportional to
     (a) Pressure         (b) Volume              (c) Temperature                      (d) None
16) The efficiency of diesel engine is about
     (a) 15% to 20%        (b) 25% to 30%              (c) 35% to 40%           (d) 45% to 50%
17) The concept of entropy was introduced by Rudolph Clausius in
     (a) 1840          (b) 1856              (c) 1857                    (d) 1905
18) A Carnot engine discharges 3 j of heat into the LTR for every 2 J work (Output).
        The efficiency of the Carnot engine will be
     (a) 33%             (b) 40%              (c) 60%                (d) 66%
19) An adiabatic process is that which has constant
     (a) Entropy      (b) Volume              (c) Pressure                       (d) Temperature
20) The efficiency of Carnot engine
     (a) Nature of working substance          (b) Size of engine        (c) Construction of engine               
      (d) Temperature of  HTR and LTR
21) Which of the following is practically reversible ?
     (a) Explosion      (b) Human metabolism           (c) Evaporation of substance      (d) Cloud formation
22) An ideal gas is one whose molecules have
     (a) KE only            (b) PE only       (c) Tot. KE only                   (d) Vib.KE only
23) Boyle’s law id applicable to
     (a) Isobaric process             (b) Isochoric process     (c) Isothermal process       (d) Adiabatic process
24) The efficiency of heat engine can be increased by increasing the temperature of
     (a) Engine            (b) Cold reservoir              (c) Hot reservoir           (d) None
25) Thermal pollution is an inevitable consequence of the
     (a) 1st law of thermodynamics         (b) 2nd law of thermodynamics    
     (c) 1st law of motion                       (d) 2nd law of motion
26) Boltzman constant K is given as
     (a) RNA            (b) R/NA          (c) NA/R                   (d) 1/RNA

27) Average translational KE of molecules for an ideal gas is
     (a) (2/3) KT             (b) (3/2) KT             (c) (2/3k)T                       (d) (3/2K)T
28) The unit of entropy is
     (a) JK          (b) K/J              (c) J             (d) J/K
29) The cloud formation in atmosphere is an example
     (a) Isothermal process     (b) Adiabatic process    
     (c) Isobaric Process              (d) Isochoric process
30) The relationship b/w temperature of an ideal gas and average translational KE is
     (a) T = <  mv2>           (b) T = <  mv2>    (c) T = <  mv2>   (d) T = <  mv2>          
31) According to 1st law of thermodynamics the quantity which is conserved
     (a) Energy     (b) Force               (c) Momentum           (d) Power          
32) Environmental crises are known as
     (a) Population crises      (b) Entropy crises           (c) War crises       (d) Mass crises
32) Ideal gas law is
     (a)  PT = NUK     (b) P = NKT             (c) PV = NRT           (d) P = nRT
33) Number of spark plugs needed in the diesel engine are
     (a) 0      (b) 1                     (c) 2           (d) 3
34) Heat is a form of
     (a) Power         (b) Energy       (c) Momentum        (d) Torque
35) A heat engine have 50% efficiency. The ratio b/w source and sink temperature T2/T1=……
     (a) 1        (b) 0.5       (c) 1.5        (d) 2.0
36) Cloud formation in the atmosphere is an example of
     (a) Isothermal process         (b) Isochoric process       (c) Adiabatic process        (d) Isobaric process
36) The carnot cycle can be shown by which graph
     (a) P-T graphr         (b) V-T grapgh       (c) P-V grapgh        (d) P-T grapgh
37) Triple point of water is
     (a) 273.16 0F        (b) 273.16 0C       (c) 273.16 K        (d) 373.16 K

Q-2. Write short answers of the following.
1)  What is triple point of water?
2)   Define Reversible process
3)  Give an example of natural process that involves an increase in entropy?
4)  Define  (i) Specific heat    (ii) Entropy
5) What happens to the temperature of the room, when an air conditioner is left running 
     on the table in the middle of the room?
6)  Does entropy of a system increase or decrease due to friction?
7)  Why does the pressure of gas in a car tyre increases when it is driven through some distance.
8) Is it possible to construct a heat engine that will not expel heat into the atmosphere? 
9) Can mechanical energy be completely converted into heat energy? Give example.
10) Specific heat at constant pressure is greater the specific heat at constant volume.  Why?
11) A Carnot engine utilizes an ideal gas. The source temperature is 227 ºC and sink   temperature is   127  ºC.
      Find efficiency of  the engine.
12) A thermo flask containing milk as a system is shaken rapidly, Does the temperature of milk rises?
13) Derive Boyle’s law from Kinetic theory of gases.
14) Derive Charles law form kinetic theory of gases.
15) Define reversible and irreversible process.
16) What is the translational kinetic energy of molecules in a gas at 28 C0.
17) Write postulates of KMT.
18) Prove that < V2> = 3p/ρ
19) Cp >Cv . Why?
20) Why the adiabatic curve is more steeper than isothermal curve?
21) State fist law of thermodynamics. How it is applicable on human body?


Q-3  (a). Show that Cp – Cv = R                                                                                    
         (b).   The turbine in a steam power plant takes steam from a boiler at 427 Cº and  exhaust into a low temperature              
                   reservoir at 77 Cº. What is the maximum possible  efficiency?                                                                                                       
 Q-4   (a). What is Carnot Engine? Calculate its efficiency.                                           
         (b) A thermodynamic system undergoes a process in which its internal energy decreases by 300 J.
                If at  the same time 120 J  of work is done on the system, find  the heat lost by the system.                                                                               
Q-5   (a) Explain the working of petrol engine and compose its efficiency with diesel engine.                                                                                                              
         (b)  Calculate the entropy change when 1.0 kg ice at 0 Cº melts into water at 0 Cº.Latent of heat of fusion
                  Lf = 3.36 x 105 Jkg−¹       


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