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- 🔁 Simple Harmonic Motion (SHM) – Complete Library (IIT–JEE Advanced)
- 🌊 Mechanical Waves – JEE Advanced Objective Library
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📌 Structured • Exam-Oriented • IIT–JEE Advanced Focused Learning
Simple Harmonic Motion (SHM) – Tough Objective Questions
Stage-1 | Page-4 | Graphs, Traps & Advanced Concepts
Q16. In SHM, the slope of velocity–time graph at mean position is:
Options:
A) Zero B) Maximum C) Minimum D) Infinite
Options:
A) Zero B) Maximum C) Minimum D) Infinite
Answer: B
Explanation:
Slope of v–t graph = acceleration. At mean position, acceleration is maximum.
Explanation:
Slope of v–t graph = acceleration. At mean position, acceleration is maximum.
Q17. The displacement–time graph of SHM is:
Options:
A) Straight line B) Parabola C) Sinusoidal curve D) Hyperbola
Options:
A) Straight line B) Parabola C) Sinusoidal curve D) Hyperbola
Answer: C
Concept: x = A sin(ωt + φ)
Concept: x = A sin(ωt + φ)
Q18. A particle performs SHM. At which position is kinetic energy maximum?
Options:
A) At extreme position B) At mean position C) At half amplitude D) At random point
Options:
A) At extreme position B) At mean position C) At half amplitude D) At random point
Answer: B
Explanation:
Velocity is maximum at mean position ⇒ KE maximum.
Explanation:
Velocity is maximum at mean position ⇒ KE maximum.
Q19. The acceleration–displacement graph of SHM is:
Options:
A) Straight line passing through origin B) Parabola C) Circle D) Sinusoidal
Options:
A) Straight line passing through origin B) Parabola C) Circle D) Sinusoidal
Answer: A
Explanation:
a = −ω²x → straight line with negative slope.
Explanation:
a = −ω²x → straight line with negative slope.
Q20. In SHM, which quantity remains constant?
Options:
A) Velocity B) Acceleration C) Mechanical Energy D) Displacement
Options:
A) Velocity B) Acceleration C) Mechanical Energy D) Displacement
Answer: C
Concept: Total energy = constant = ½mω²A²
Concept: Total energy = constant = ½mω²A²
Q21. If amplitude of SHM is doubled, total energy becomes:
Options:
A) Double B) Half C) Four times D) Eight times
Options:
A) Double B) Half C) Four times D) Eight times
Answer: C
Explanation:
E ∝ A² → doubling A gives 4E.
Explanation:
E ∝ A² → doubling A gives 4E.
Q22. In SHM, phase difference between displacement and velocity is:
Options:
A) 0 B) π/2 C) π D) 2π
Options:
A) 0 B) π/2 C) π D) 2π
Answer: B
Concept: Velocity leads displacement by π/2.
Concept: Velocity leads displacement by π/2.
Q23. When displacement is zero in SHM, acceleration is:
Options:
A) Zero B) Maximum C) Minimum D) Infinite
Options:
A) Zero B) Maximum C) Minimum D) Infinite
Answer: A
Explanation:
a = −ω²x → at x = 0, a = 0.
Explanation:
a = −ω²x → at x = 0, a = 0.
Q24. The velocity–displacement relation in SHM is:
Options:
A) v ∝ x B) v² = ω²(A² − x²) C) v = ωx D) v ∝ 1/x
Options:
A) v ∝ x B) v² = ω²(A² − x²) C) v = ωx D) v ∝ 1/x
Answer: B
Q25. In SHM, force is proportional to:
Options:
A) Velocity B) Acceleration C) Displacement D) Time
Options:
A) Velocity B) Acceleration C) Displacement D) Time
Answer: C
Explanation:
F = −kx
Explanation:
F = −kx
✅ Stage-1 | Page-4 Completed
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