(a)State and prove Stoke's Theorem. Also explain its significance. [10]
(b)A particle moves in xy plane so that its x and y coordinates vary with time according to x(t) = At² + Bt and y(t) = Ct² + D, where A = 1.00 m/s², B = -32 m/s, C = 5 m/s², and D = 12 m. Find the position, velocity and acceleration of the particle when t = 3 s. [10]
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Q. 3
(a)What is relativity of length according to Einstein? Also discuss consequences of Lorentz transformation for relativity. [10]
(b)Prove E² = m²c⁴ + P²c². [5]
(c)Derive formula for work and kinetic energy in rotational motion. [5]
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Q. 4
(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). [6]
(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 1.5×10⁸ km. [6]
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Q. 5
(a)Write in detail about the variation of pressure in a fluid at rest and in the atmosphere with relevant mathematical formulas. [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 9 m/s, police car chasing behind you at 38 m/s. [6]
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Q. 6
(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]
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Q. 7
(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]
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Q. 8
Write Comprehensive note on any two of the followings:
The 2024 CSS Physics paper set by the Federal Public Service Commission. Question wording only; questions marked “Not yet checked” have not been compared with the official paper yet. Open the official paper beside the questions to check any of them.
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