CSS past paper

CSS Physics Paper I Past Paper 2024

CSS Physics Paper I 2024 carries 100 marks over 3 hours. It has 7 questions.

Marks: 100
Time: 3 hours
Questions: 7

Years

How to attempt: Attempt ONLY FOUR questions from PART-II. ALL questions carry EQUAL marks.

Questions

Question 1 (Part I) is the paper's MCQs, which are not reproduced here.

Q. 2
(20)
- (a)
  State and prove Stoke’s Theorem. Also explain its significance. (6, 4)
  (10)
- (b)
  A particle moves in $xy$ plane so that its $x$ and $y$ coordinates vary with time according to $x(t)=At^{3} + Bt$ and $y(t)=Ct^{2}+D$ . where A=1.00 m/s $^{3}$ B= -32 m/s C= 5 m/s $^{2}$ and D=12m. Find the position, velocity and acceleration of the particle when t=3 s.
  (10)
Q. 3
(20)
- (a)
  What is relativity of length according to Einstien? Also discuss concequences of lorentz transformation for relativity. (5, 5)
  (10)
- (b)
  Prove $E^{2}= m^{2}c^{4}+P^{2}c^{2}$ .
  (5)
- (c)
  Derive formula for work and kinetic energy in rotational motion.
  (5)
Q. 4
(20)
- (a)
  What is conservative field? Prove that gravitational force is negative derivative of potential energy.
  (10)
- (b)
  Find the direction cosines of Cartesian coordinates (2,-1, 2).
  (4)
- (c)
  Calculate which is greater, angular momentum of earth associated with its rotation about its own axis or angular momentum of earth associated with its orbital motion around sun. Radius of the earth=6400 km and radius of the orbit of the earth about the sun is equal to 1.5×10 $^{8}$ km.
  (6)
Q. 5
(20)
- (a)
  Write in detail about the variation of pressure in a fluid at rest and in the atmosphere with relevant mathematical formulas. (7, 7)
  (14)
- (b)
  The siren of a police car emits a pure tone at frequency 1125 Hz find the frequency that you perceive in your car when you moving at 9m/s, police car chasing behind you at 38 m/s.
  (6)
Q. 6
(20)
- (a)
  If two waves having same amplitude and are propagating in opposite directions through a string, will they produce standing waves? Is energy transported, and are there any nodes?
  (10)
- (b)
  How dispersion and resolving power of a grating can be calculated in terms of wavelength?
  (10)
Q. 7
(20)
- (a)
  Differentiate between real and ideal gas. Describe about work done on ideal gas in thermal isolation.
  (10)
- (b)
  A heat pump acting as a refrigerator is used to heat a house. The temperature outside the house is -9°C and inside is kept at 21°C. Find the maximum coefficient of performance of the heat pump?
  (6)
- (c)
  What do you know about fermi-Dirac statistics?
  (4)
Q. 8
Write Comprehensive note on any two of the followings: (10 each)
(20)
- (a)
  Damped harmonic motion
- (b)
  Young Double Slit Experiment
- (c)
  Longitudinal and transverse coherence

Part-II is to be attempted on the separate Answer Book.
Attempt ONLY FOUR questions from PART-II. ALL questions carry EQUAL marks.
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 Q.Paper.
No Page/Space be left blank between the answers. All the blank pages of Answer Book must be crossed.
Extra attempt of any question or any part of the question will not be considered.
Use of Calculator is allowed.