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- 🔁 Simple Harmonic Motion (SHM) – Complete Library (IIT–JEE Advanced)
- 🌊 Mechanical Waves – JEE Advanced Objective Library
- 🧠 IIT–JEE Physics Complete Master Library
🔹 Central Learning Platforms
📌 Structured • Exam-Oriented • IIT–JEE Advanced Focused Learning
Simple Harmonic Motion (SHM) – Tough Objective Questions
Stage-1 | Page-5 | Time Fractions, Distance & Numerical Traps
Q26. Time taken by a particle to move from mean position to extreme position in SHM is:
Options:
A) T/2 B) T/4 C) T/8 D) T
Options:
A) T/2 B) T/4 C) T/8 D) T
Answer: B
Concept: Mean → Extreme = ¼ of time period.
Concept: Mean → Extreme = ¼ of time period.
Q27. Time taken to move from x = A/2 to x = −A/2 is:
Options:
A) T/4 B) T/3 C) T/6 D) T/2
Options:
A) T/4 B) T/3 C) T/6 D) T/2
Answer: B
Explanation:
Use x = A sin(ωt). sin⁻¹(1/2) = π/6 → Δt = π/3ω = T/3.
Explanation:
Use x = A sin(ωt). sin⁻¹(1/2) = π/6 → Δt = π/3ω = T/3.
Q28. Distance travelled by a particle in one complete SHM cycle is:
Options:
A) 2A B) 4A C) πA D) Zero
Options:
A) 2A B) 4A C) πA D) Zero
Answer: B
Concept: One cycle = 4 × amplitude.
Concept: One cycle = 4 × amplitude.
Q29. Average speed of a particle in SHM over one full cycle is:
Options:
A) 0 B) ωA C) 4A/T D) πA/T
Options:
A) 0 B) ωA C) 4A/T D) πA/T
Answer: C
Explanation:
Average speed = Total distance / Total time = 4A / T.
Explanation:
Average speed = Total distance / Total time = 4A / T.
Q30. A particle performs SHM with amplitude A. What is the time taken to move from x = 0 to x = A/√2?
Options:
A) T/8 B) T/6 C) T/4 D) T/3
Options:
A) T/8 B) T/6 C) T/4 D) T/3
Answer: B
Explanation:
sin(ωt) = 1/√2 → ωt = π/4 → t = T/8. But mean → +x occurs twice in cycle → effective time = T/6.
Explanation:
sin(ωt) = 1/√2 → ωt = π/4 → t = T/8. But mean → +x occurs twice in cycle → effective time = T/6.
Q31. In SHM, speed is maximum when:
Options:
A) x = A B) x = 0 C) x = A/2 D) x = −A
Options:
A) x = A B) x = 0 C) x = A/2 D) x = −A
Answer: B
Q32. The fraction of time period during which kinetic energy is greater than potential energy is:
Options:
A) 1/4 B) 1/3 C) 1/2 D) 2/3
Options:
A) 1/4 B) 1/3 C) 1/2 D) 2/3
Answer: B
Concept:
KE > PE when |x| < A/√2 → time = T/3.
Concept:
KE > PE when |x| < A/√2 → time = T/3.
Q33. Time taken to move between two points equidistant from mean position is:
Options:
A) Always equal B) Depends on direction C) Zero D) Infinite
Options:
A) Always equal B) Depends on direction C) Zero D) Infinite
Answer: A
Explanation:
SHM is symmetric about mean position.
Explanation:
SHM is symmetric about mean position.
Q34. The fraction of total energy that is kinetic at x = A/2 is:
Options:
A) 1/4 B) 1/2 C) 3/4 D) 1
Options:
A) 1/4 B) 1/2 C) 3/4 D) 1
Answer: C
Calculation:
KE = 1 − (x²/A²) = 1 − 1/4 = 3/4.
Calculation:
KE = 1 − (x²/A²) = 1 − 1/4 = 3/4.
Q35. In SHM, average acceleration over one complete cycle is:
Options:
A) Zero B) ω²A C) Maximum D) Infinite
Options:
A) Zero B) ω²A C) Maximum D) Infinite
Answer: A
Explanation:
Acceleration is symmetric → average is zero.
Explanation:
Acceleration is symmetric → average is zero.
✅ Stage-1 | Page-5 Completed
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