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Default Physics Paper 2002

FEDERAL PUBLIC SERVICE COMMISSION
COMPETITIVE EXAMINATION FOR RECRUITMENT TO POSTS
IN B.P.S. – 17, UNDER THE FEDERAL GOVERNMENT, 2002

Time Allowed: 3 hours
Maximum Marks: 100

PAPER I

Note: Attempt FIVE questions in all, including Question No. 8, which is compulsory. All questions carry equal marks.

Q.1 (a) If A = A_1^i + A_2 i + A_3 j and B = B_1 i + B_2 j + B_3 k, then prove that A,B = A_(1 ) B_1 + A_2 B_2 + A_3 A_3
(b) Find the value of e so that A = ci – 2j + k and B = 2ci + cj – 4k are perpendicular.
(c) If A, B × C = 0, then show that vectors A, B, and C are coplanar. Given ø = 3x^(2 ) - yx, find div. (grad ø)

Q.2 (a) Show that Newton’s first law of motion is a special case of Newton’s second law of motion.
(b) State and explain the law of conservation of linear momentum.
(c) A stream of bullet whose mass m = 3.8g each, is fired horizontally with speed v = 1100m/s into a large wooden block of mass M = 12kg that is initially at rest on horizontal table. If block is free to slide without friction across the table, what speed will it acquire after it has absorbed 8 bullets?

Q.3 (a) Drive Bemoulli’s equation for steady flow of a non-viscous fluid.
(b) a liquid is discharging from an orifice in a large tank at a distance h below the liquid surface. The tank is open at the top. Show that the speed of efflux is v = √2gh or √2

Q.4 Write the general equation for ‘damped harmonic oscillator.’ Solve it and discuss all the three features of damping i.e. when damping is small, medium, and high.

Q.5 (a) What is interference of light? What are the necessary conditions for interference?
(b) How interference pattern is formed in case of Newton’s Rings? Drive an expression for the radius of the dark and bright fingers.

Q.6 (a) Give the Clausius, and Kelvin – Planck statements of the second law or thermodynamics. Show that the two statements are equivalent.
(b) What are the basic assumptions on which the kinetic theory of gases is developed? Explain these in brief.

Q.7 Write notes on any two of the followings:
Lorentz Transformation
Standing Waves
Maxwell Distribution of molecular velocity

Q.8 Write only the correct answer in the Answer Book. Don’t reproduce the questions.

1. What is the exhaust temperature required to operate a Carnot’s heat engine at the efficiency of 38%, if the higher temperature is 200℃?
a. 20℃
b. 17℃
c. 15℃
d. 38℃
e. None of these

2. The minimum number of unequal forces whose vector sum can be ZERO is:
a. 1
b. 2
c. 3
d. 4
e. None of these

3. Entropy of universe during any natural process
a. Remains constant
b. Increase
c. Decrease in internal energy or remain constant
d. Increase in temperature
e. None of these

4. Heat energy added to a system under isothermal conditions
a. Work done on the system
b. Increase in internal energy
c. Increase in temperature
d. Work done by the system
e. None of these

5. Which one of the following properties of waves is not found in both sound waves and radio waves?
a. Reflection
b. Interference
c. Diffraction
d. Polarization
e. None of these

6. A man hears a musical sound produced by a tuning for fork. The frequency of the tuning fork, in cycles per second is,
a. 4
b. 400
c. 40000
d. 10000
e. None of these

7. In sound frequency determination ‘pitch’ and in light frequency determines
a. Speed
b. Type of polarization
c. Colour
d. None of these

8. The minimum initial velocity requires to take a body, at the surface of the earth, out of the gravitational field of the earth is given by,
a. √(2gRe)
b. √2gRe
c. √2Reg
d. 2Re/g

9. A collision is said to be elastic if,
a. Momentum and kinetic energy are both conserved
b. Momentum is conserved and kinetic energy changes
c. Momentum changes and kinetic energy is conserved
d. Momentum and kinetic energy both change
e. None of these

10. The object of Michelson and Morley experiment was to find:
a. Velocity of light
b. Velocity of earth with respect to other
c. Nature of light
d. All of the above
e. None of the (a), (b), (c)

11. What makes a steel needle float on the top of the water?
a. Surface Tension
b. Adhesion
c. Viscosity
d. Density
e. None of these

12. A gas at pressure of 4 atmospheres is allowed to expand isothermally from a volume of 100〖cm〗^3 to a volume of 〖400 cm〗^3. The new pressure is:
a. 16 atmosphere
b. 4 atmosphere
c. 1 atmosphere
d. None of these

13. Air resistance has an effect on projectiles. Which factor(s) does it influence?
a. Speed
b. Maximum height
c. Range
d. All of the above
e. None of the (a), (b) and (c)

14. A container has a small hole in the bottom. Air can go through this hole, but water cannot. This can be best explained by the statement that:
a. Water molecules are larger than molecules in the air
b. Water molecules are smaller than molecules in the air
c. Water is more viscous than air
d. Surface tension of the water prevents it from escaping
e. None of these

15. The volume of a given mass of gas will be doubled at atmospheric pressure if temperature of the gas is changed from 150℃ to:
a. 300℃
b. 423℃
c. 573℃
d. 743℃
e. None of these

16. If a force moves a body with certain velocity, then the power is:
a. Cross product of force and velocity
b. Dot product of force and velocity
c. Product of force and square of velocity
d. Force divided by velocity
e. None of these

17. If the distance between a point source of light and a surface is tripled, then intensity of illumination on the surface will be
a. Tripled
b. Reduced to 1/2
c. Reduced to 1/3
d. Reduced to 1/9
e. None of these

18. X and Y are each 6 feet tall. X stands 4ft. from a vertical plane mirror, and Y 8ft. from the same mirror. The size of X’s image as compared with Y’s is:
a. 4 times as great
b. Twice as great
c. The same size
d. Twice as small
e. None of these

19. When a body moves at a speed nearly equal to the velocity of light
a. Its mass increases
b. Its length decreases
c. Both (a) and (b) are true
d. None of these

20. The average transactional kinetic energy of an atom of a gas is equal to:
a. (1/2) KT
b. (3/2) KT
c. 3 KT
d. KT
e. None of these
__________________
Regards,
P.R.
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