Exercise Solutions Available
Step-by-step answers for all textbook questions in this chapter
Student Instructions
This paper focuses more on Volume 2 topics. Attempt after completing all chapters. Use a fresh answer sheet and attempt under timed conditions.
Time Plan
| Section | Suggested Time |
|---|---|
| Reading time | 10 min |
| Part A (1 mark × 15) | 20 min |
| Part B (3 marks × 5) | 40 min |
| Part C (5 marks × 5) | 80 min |
| Review and diagrams | 10 min |
Part A — One-Mark Questions
1. State Hooke's law. 2. What is the SI unit of coefficient of viscosity? 3. Define surface tension. 4. State Boyle's law. 5. What is the most probable speed of gas molecules? 6. Define entropy. 7. What is the time period of a spring-mass system? 8. What is an antinode? 9. State the Doppler effect. 10. What is the angle of repose? 11. Define centripetal acceleration. 12. What is areal velocity? State which law keeps it constant. 13. What is the angle of banking formula? 14. Define radius of gyration. 15. What is the velocity of sound in air at 30°C?
Part B — Three-Mark Questions (Answer Any 5)
1. Explain variation of acceleration due to gravity with (a) altitude and (b) depth. 2. State the law of conservation of energy. Verify it for a mass attached to a spring. 3. Explain surface tension. Derive the formula for excess pressure inside a soap bubble. 4. Compare isothermal, adiabatic, isobaric, and isochoric processes in terms of Q, W, and ΔU. 5. Derive the expression for escape velocity. How does escape velocity relate to orbital velocity? 6. Explain beats. Derive the beat frequency formula. Give two applications. 7. What are degrees of freedom? State the law of equipartition of energy and calculate Cᵥ for a diatomic gas.
Part C — Five-Mark Questions (Answer Any 5)
1. State Newton's laws of motion. Derive the impulse-momentum theorem. Explain how a cricket player draws hands back while catching a ball. 2. Define angular momentum. Derive τ = dL/dt. State the law of conservation of angular momentum with two examples. 3. Derive Bernoulli's theorem. Apply it to explain (a) flow through a Venturimeter, (b) lift on an aircraft wing. 4. Derive the expression for time period of a simple pendulum. Show that it is independent of mass and amplitude. What are the conditions for this? 5. Explain the Doppler effect. Derive the general formula for apparent frequency. Calculate the frequency heard by a stationary observer when a train whistling at 500 Hz approaches at 36 km/h (v_sound = 340 m/s). 6. Derive the expression for RMS speed of gas molecules from kinetic theory. Find the RMS speed of nitrogen molecules at 27°C. 7. Describe elastic and inelastic collisions in one dimension. Derive expressions for final velocities after an elastic collision between unequal masses.
Diagram Practice
1. Velocity-time graph for uniformly accelerated motion (show area = displacement) 2. Carnot cycle P-V diagram (label all four processes with heat exchange) 3. Organ pipe harmonics — open and closed pipe first three modes 4. Banked road cross-section with forces labelled 5. Capillary rise diagram with contact angle and forces
After-Paper Analysis
| Topic | Marks lost | Reason | Action |
|---|---|---|---|
| — | — | — | Re-read chapter |
Fill in the table after correction. Focus your revision on chapters where you lost the most marks.
