CSS Physics Past Paper 2016

Instructions specific to this paper

• Attempt ONLY FOUR questions from PART-II. ALL questions carry EQUAL marks.
• Use of Calculator is allowed.
• Your car at rest, police car moving towards you at 29 m/s.
• Police car at rest , your car moving towards it at 29 m/s.
• Your and police car are moving towards one another at 14.5 m/s.

Questions

1. Q. 28 marks

   (a) State and prove Stoke’s theorem. (b) Prove that if the vector is the gradient of a scalar function then its line integral (4) around a closed curve is zero. (c) A particle moves along the curve x = 2t2, y = t2- 4t , z = 3t-5 where t is the (8) time. Find the components of its velocity and acceleration at time t=1 in the direction 2i-3j+2k

2. Q. 38 marks

   (a) What is moment of inertia? State and prove parallel axis theorem. (12) (b) Calculate rotational inertia of a hollow cylinder about cylindrical axis.

3. Q. 48 marks

   (a) State and prove the Kepler’s law of areas and Kepler’s law of periods of planetary motion. (b) A satellite orbits at a height of 230km above the Earth surface. What is the (6) period of satellite? (c) At what altitude above the earth surface the value of ‘g’ is three quarters of its (6) value at the surface of the earth.

4. Q. 512 marks

   (a) What is diffraction grating? Explain how grating diffracts light. Derive relation for resolving power of grating. (b) What is meant by polarization of light? How can we get a plane polarized light (8) by a polarizing sheet?

5. Q. 612 marks

   (a) Derive equation of Lorentz velocity transformations and show that speed of light is independent of the relative motion between the frames of reference. (b) The siren of a police car emits a source tone at a frequency of 1125 Hz. Find the (8) frequency that would you receive in your car under the following circumstances. (i) Your car at rest, police car moving towards you at 29 m/s. (ii) Police car at rest , your car moving towards it at 29 m/s. (iii) Your and police car are moving towards one another at 14.5 m/s. (iv) Your car moving at 9 m/s, police car chasing behind you at 38 m/s.

6. Q. 76 marks

   (a) Define Entropy. State Second law of thermodynamics in terms of Entropy. (8) (b) Discuss applications of First Law of thermodynamics. (c) Discuss briefly the Lissajous patterns. (6)

7. Q. 820 marks

   Explain any FOUR of the following terms. (05 each) (a) Doppler’s Effect (b) Bernoulli’s theorem (c) Newton’s rings (d) He-Ne Gas LASER (e) Brownian motion

Standard FPSC instructions

Printed on this and every CSS paper.

• Part-II is to be attempted on the separate Answer Book.
• All the parts (if any) of each question must be attempted at one place instead of at different places.
• Write Q. No. in the Answer Book in accordance with Q. No. in the question paper.
• No page/space be left blank between the answers. All the blank pages of the Answer Book must be crossed.
• Extra attempt of any question or any part of the attempted question will not be considered.