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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-7 | Graphs, Phase & Conceptual Traps (IIT-JEE)
Q46. In SHM, the graph between acceleration and displacement is:
Options:
A) Straight line through origin B) Parabola C) Circle D) Hyperbola
Options:
A) Straight line through origin B) Parabola C) Circle D) Hyperbola
Answer: A
Reason: a = −ω²x → linear relation
Reason: a = −ω²x → linear relation
Q47. Phase difference between displacement and acceleration in SHM is:
Options:
A) 0 B) π/2 C) π D) 3π/2
Options:
A) 0 B) π/2 C) π D) 3π/2
Answer: C
Concept: Acceleration is always opposite to displacement.
Concept: Acceleration is always opposite to displacement.
Q48. A particle starts from mean position moving towards +x direction.
Its initial phase (φ) is:
Options:
A) 0 B) π/2 C) π D) −π/2
Options:
A) 0 B) π/2 C) π D) −π/2
Answer: 0
Explanation: x = A sin(ωt + φ), at t = 0 → x = 0, v positive → φ = 0
Explanation: x = A sin(ωt + φ), at t = 0 → x = 0, v positive → φ = 0
Q49. Which graph represents total energy vs time for SHM?
Options:
A) Straight line B) Sine wave C) Constant horizontal line D) Exponential curve
Options:
A) Straight line B) Sine wave C) Constant horizontal line D) Exponential curve
Answer: C
Q50. At which position is kinetic energy maximum?
Options:
A) x = A B) x = A/2 C) x = A/√2 D) x = 0
Options:
A) x = A B) x = A/2 C) x = A/√2 D) x = 0
Answer: D
Q51. The velocity-time graph of SHM is:
Options:
A) Straight line B) Parabola C) Sine curve D) Rectangle
Options:
A) Straight line B) Parabola C) Sine curve D) Rectangle
Answer: C
Q52. Time taken by a particle to go from mean position to half amplitude is:
Options:
A) T/12 B) T/8 C) T/6 D) T/4
Options:
A) T/12 B) T/8 C) T/6 D) T/4
Answer: B
Hint:
x = A sin ωt ⇒ sin ωt = 1/2 ⇒ ωt = π/6
Hint:
x = A sin ωt ⇒ sin ωt = 1/2 ⇒ ωt = π/6
Q53. Which of the following does NOT change with time in SHM?
Options:
A) Kinetic energy B) Potential energy C) Acceleration D) Angular frequency
Options:
A) Kinetic energy B) Potential energy C) Acceleration D) Angular frequency
Answer: D
Q54. The slope of displacement-time graph at mean position is:
Options:
A) Zero B) Maximum C) Minimum D) Constant
Options:
A) Zero B) Maximum C) Minimum D) Constant
Answer: B
Reason: Slope = velocity, which is max at mean.
Reason: Slope = velocity, which is max at mean.
Q55. In SHM, which quantity is 90° ahead of displacement?
Options:
A) Acceleration B) Velocity C) Energy D) Force
Options:
A) Acceleration B) Velocity C) Energy D) Force
Answer: B
✅ Stage-1 | Page-7 Completed Successfully
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