Exercise Solutions Available
Step-by-step answers for all textbook questions in this chapter
Student Instructions
Attempt this paper under exam conditions. Write full answers, show all steps for numericals, and draw labelled diagrams where required.
Time Plan
| Section | Questions | Suggested Time |
|---|---|---|
| Read the paper | — | 10 minutes |
| Part A (1 mark × 15) | 15 | 20 minutes |
| Part B (3 marks × 5) | 5 | 40 minutes |
| Part C (5 marks × 5) | 5 | 80 minutes |
| Review | — | 10 minutes |
Part A — One-Mark Questions (Answer All)
1. What is the dimensional formula of pressure? 2. Define displacement. 3. State Newton's first law of motion. 4. Define work done by a force. 5. What is the moment of inertia of a solid sphere about its diameter? 6. State Newton's law of gravitation. 7. Define Young's modulus. 8. State the first law of thermodynamics. 9. What is the RMS speed of gas molecules? 10. Define simple harmonic motion. 11. What is the beat frequency of two waves with frequencies 256 Hz and 260 Hz? 12. What is escape velocity of Earth? 13. What is terminal velocity? 14. State the law of equipartition of energy. 15. Define resonance.
Part B — Three-Mark Questions (Answer Any 5)
1. Derive the expression for the range of a projectile. At what angle is the range maximum? 2. State and explain Newton's three laws of motion. 3. Derive Mayer's relation Cₚ − Cᵥ = R. 4. State the parallel axis theorem. Find the moment of inertia of a thin rod about one end using the theorem. 5. Explain capillary rise and derive the expression for height of liquid in a capillary. 6. A Carnot engine operates between 500 K and 300 K. Find (a) efficiency, (b) work done per cycle if heat absorbed = 1000 J. 7. State Kepler's three laws. Derive the third law from Newton's law of gravitation.
Part C — Five-Mark Questions (Answer Any 5)
1. Derive the three equations of uniformly accelerated motion. Apply them to a body dropped from rest: find velocity and distance fallen after 4 seconds. 2. State the work-energy theorem. Derive it. Explain how mechanical energy is conserved in free fall at three stages. 3. Describe the Carnot cycle with a P-V diagram. Derive the expression for efficiency. 4. Derive the expression for pressure exerted by an ideal gas from kinetic theory. Hence show PV = nRT. 5. Define SHM. Derive expressions for displacement, velocity, and acceleration. Discuss the energy (KE and PE) at mean and extreme positions. 6. Explain standing waves in a string fixed at both ends. Derive the frequencies of harmonics. Draw the first three modes. 7. State Stokes' law and derive the expression for terminal velocity of a sphere falling through a viscous liquid.
Diagram Practice (Draw Before Exam)
1. Projectile motion parabola with angle, range, and maximum height labelled 2. P-V diagram for Carnot cycle (all four processes labelled) 3. Standing waves on string — first three harmonics with nodes and antinodes 4. Energy vs. displacement graph for SHM 5. Free body diagram for a block on an inclined plane with friction
Self-Check Rubric
| Skill | Check |
|---|---|
| Completeness | Answered all compulsory questions? |
| Derivation steps | Showed each step clearly? |
| Units | Included SI units in all numerical answers? |
| Diagrams | Labelled all diagrams? |
| Time | Finished with review time remaining? |
