OSCILLATIONS & SIMPLE HARMONIC MOTION (SHM)
6 Objective Practice Papers (JEE Main + Advanced)
OBJECTIVE PAPER–1 : Core Concepts
Q1. In SHM, acceleration is maximum at:
- A) Mean position
- B) Extreme position
- C) Half amplitude
- D) Everywhere same
Answer: B
Trick: a ∝ x → maximum at x = A
Q2. Time period of a simple pendulum depends on:
- A) Mass
- B) Amplitude
- C) Length
- D) Density
Answer: C
Tip: T = 2π√(l/g)
Q3. At mean position, which quantity is maximum?
Answer: Velocity
Q4. If amplitude is doubled, time period becomes:
Answer: Same
Q5. Total energy of SHM ∝
Answer: A²
OBJECTIVE PAPER–2 : Phase & Time
Q6. Phase difference π/2 corresponds to time difference:
Answer: T/4
Trick: π → T/2, π/2 → T/4
Q7. Phase at mean position is:
Answer: π/2 or 3π/2
Q8. At which displacement KE = PE?
Answer: x = A/√2
Q9. Angular frequency depends on:
Answer: System properties
Q10. Velocity is zero at:
Answer: Extreme position
OBJECTIVE PAPER–3 : Energy & Graphs
Q11. Energy at extreme position is:
Answer: Only potential energy
Q12. Slope of v–t graph gives:
Answer: Acceleration
Q13. Acceleration–displacement graph is:
Answer: Straight line through origin
Q14. Total energy remains:
Answer: Constant
Q15. KE is maximum at:
Answer: Mean position
OBJECTIVE PAPER–4 : Spring & Pendulum
Q16. Time period of spring–mass system:
Answer: 2π√(m/k)
Q17. If mass increases, time period:
Answer: Increases
Q18. If g increases, pendulum period:
Answer: Decreases
Q19. SHM is possible only when restoring force is:
Answer: Proportional to displacement
Q20. Damping causes amplitude to:
Answer: Decrease
OBJECTIVE PAPER–5 : Mixed JEE Level
Q21. Maximum speed in SHM:
Answer: ωA
Q22. Relation between a and x:
Answer: a = −ω²x
Q23. Time period of SHM depends on:
Answer: ω only
Q24. At extreme position, acceleration is:
Answer: Maximum
Q25. Initial phase decides:
Answer: Starting position
OBJECTIVE PAPER–6 : Exam Traps & Thinking
Q26. If velocity is zero, motion must be at:
Answer: Extreme position
Q27. Energy at mean position is:
Answer: Only kinetic
Q28. Frequency depends on:
Answer: System constants
Q29. SHM equation x = A cos(ωt + φ) shows:
Answer: Phase information
Q30. Best method to solve SHM numericals:
Answer: Identify position → choose correct formula
Master Tip: Mean → velocity max Extreme → acceleration max Energy → never lost in ideal SHM
6 Objective Papers Completed ✅ (Ready for JEE Main & Advanced)
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🔹 Simple Harmonic Motion (SHM) — Core Series
Coverage: Concepts → PYQs → Advanced Thinking → Exam Readiness
- SHM – Final Exam Day Checklist
- SHM Part 2
- SHM Part 3
- SHM Part 4
- SHM Part 5
- SHM Part 6
- SHM Part 7
- SHM Part 8
- SHM Part 9
- SHM Part 10
- SHM Part 11
- SHM Part 12
- SHM Part 13
- SHM Part 14
- SHM Part 15
- SHM Part 16
- SHM Part 17
- SHM Part 18
- SHM Part 19
- SHM Part 20
- SHM Part 21
- SHM Part 22
- SHM Part 23
- SHM Part 24
- SHM Part 25
- SHM Part 26
- SHM Part 27
- SHM Part 28
- SHM Part 29
🔹 Simple Harmonic Motion (SHM) — Extended Series (30–56)
These pages are placed separately for continuity & reference.
30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56
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