CSS Physics Past Paper 2023

Instructions specific to this paper

• Attempt ONLY FOUR questions from PART-II. ALL questions carry EQUAL marks.
• Use of Calculator is allowed.

Questions

1. Q. 220 marks

   (a) What is Gradient of a scalar function? Give its physical significance and show (10) that ����������⃗ 𝐺𝑟𝑎𝑑𝜑 = �∇⃗. 𝜑 (b) Define the term ‘acceleration’ and find its Cartesian components. (06) (c) If 𝐴⃗ = 𝑥𝑧 3 𝚤̂ − 2𝑥 2 𝑧𝚥̂ + 2𝑦𝑧 4 𝑘�, then find curl of A at the point (1,-1,1) (04)

2. Q. 310 marks

   (a) Explain the rotational kinetic energy and determine its formula for a disc, hoop and sphere. (b) What do you mean by the term ‘inertia’ in physics? Calculate respectively the (06) rotational inertia of a solid cylinder and a hollow cylinder about an axis of symmetry. (c) Calculate the angular speed of the second’s hand, minutes hand and hour’s hand (04) (20) of a watch.

3. Q. 410 marks

   (a) What was Physics like before relativity and how did Einstein come up with his theory? Mathematically explain how mass and energy is interchangeable? (b) Discuss in detail the relativity of length using Einstein’s special theory of (06) relativity. (c) Calculate the mass equivalent of energy from an antenna radiating 10KW for 24 (04) (20) hours.

4. Q. 510 marks

   (a) Define capillarity and derive an expression for the rise of liquid in a capillary tube to show that the height of the liquid column supported is inversely proportional to the radius of the tube. (b) What are fluids? Write their important characteristics. (06) (c) A cylindrical swimming pool has radius 2m and depth 1.3m. It is filled (04) (20) completely with salt water. Given, density of salt water = 1.03x103kgm-3, volume of water = 16.34m3, and the atmospheric pressure = 1.013x105Pa. Calculate the pressure at the bottom of the pool.

5. Q. 610 marks

   (a) For a wave travelling through a medium, demonstrate that the total energy per unit volume is always equal to one half the kinetic and one half the potential energy. (b) The longitudinal waves can pass through solids. How it is possible and on what (06) parameters the velocity of such waves will depend? (c) The angular Vibrational frequency of CO molecule is 0.6x1015s-1. Calculate the (04) (20) amount of work required for stretching it by 0.5Å from the equilibrium position.

6. Q. 710 marks

   (a) An ideal gas is enclosed in a cylinder with movable piston. Calculate the work done on such gas and show that pressure force is non-conservative. (06) (b) State and briefly explain the intermolecular forces. (c) Oxygen gas having a volume of 1130cm3 at 42°C and a pressure of 101kPa (04) (20) expanded until its volume is 1530cm3 and its pressure is 106kPa. Find the number of moles of oxygen in the system and its final temperature.

7. Q. 820 marks

   Write short notes on any TWO of the following. (10 each) a. Kepler’s Law of Periods b. Michelson interferometer c. Young’s double slit experiment

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.