📚 IIT–JEE Physics Complete Learning Hub
🔹 Core Physics Libraries
- 🔁 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) – IIT Tough Objective Questions
Stage-1 | Page-1 | JEE Advanced Level
Q1. A particle executes SHM with amplitude A. At what displacement will its kinetic energy be equal to its potential energy?
Options:
A) A/√2 B) A/2 C) A/√3 D) A
Options:
A) A/√2 B) A/2 C) A/√3 D) A
Answer: A
Explanation:
K = U ⇒ ½mω²(A² − x²) = ½mω²x² ⇒ x = A/√2
Explanation:
K = U ⇒ ½mω²(A² − x²) = ½mω²x² ⇒ x = A/√2
Q2. In SHM, velocity is maximum at:
Options:
A) Extreme position B) Mean position C) At x = A/2 D) At x = A/√2
Options:
A) Extreme position B) Mean position C) At x = A/2 D) At x = A/√2
Answer: B
Key Concept: Restoring force = 0 → acceleration = 0 → velocity maximum.
Key Concept: Restoring force = 0 → acceleration = 0 → velocity maximum.
Q3. The time taken by a particle to go from x = A/2 to x = −A/2 in SHM is:
Options:
A) T/6 B) T/4 C) T/3 D) T/2
Options:
A) T/6 B) T/4 C) T/3 D) T/2
Answer: C
Hint:
Use phase angle: x = A sinθ θ₁ = 30°, θ₂ = −30° → Δθ = 60° = π/3 ⇒ Time = T/3
Hint:
Use phase angle: x = A sinθ θ₁ = 30°, θ₂ = −30° → Δθ = 60° = π/3 ⇒ Time = T/3
Q4. In SHM, acceleration is proportional to:
Options:
A) Velocity B) Square of displacement C) Displacement D) Square of velocity
Options:
A) Velocity B) Square of displacement C) Displacement D) Square of velocity
Answer: C
Formula: a = −ω²x
Formula: a = −ω²x
Q5. If the total energy of a particle in SHM is E, then its kinetic energy at displacement x is:
Options:
A) E − ½mω²x² B) ½mω²x² C) E + ½mω²x² D) Constant
Options:
A) E − ½mω²x² B) ½mω²x² C) E + ½mω²x² D) Constant
Answer: A
Concept: K = E − U
Concept: K = E − U
✅ Stage-1 | Page-1 Completed
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