📚 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) – Tough Objective Questions
Stage-1 | Page-3 | JEE Advanced Level
Q11. A particle executes SHM with amplitude A. The ratio of its maximum acceleration to maximum velocity is:
Options:
A) ω B) Aω C) ω² D) 1/A
Options:
A) ω B) Aω C) ω² D) 1/A
Answer: A
Explanation:
amax = ω²A vmax = ωA Ratio = ω²A / ωA = ω
Explanation:
amax = ω²A vmax = ωA Ratio = ω²A / ωA = ω
Q12. A body performs SHM. At what fraction of amplitude does its speed become half of maximum speed?
Options:
A) A/4 B) √3A/2 C) √3A/4 D) A/√2
Options:
A) A/4 B) √3A/2 C) √3A/4 D) A/√2
Answer: C
Explanation:
v = ω√(A² − x²) v = vmax/2 ⇒ √(A² − x²) = A/2 ⇒ x = √3A/2 ⇒ fraction = √3A/4
Explanation:
v = ω√(A² − x²) v = vmax/2 ⇒ √(A² − x²) = A/2 ⇒ x = √3A/2 ⇒ fraction = √3A/4
Q13. The time period of SHM depends on:
Options:
A) Amplitude B) Initial phase C) Energy D) Force constant and mass
Options:
A) Amplitude B) Initial phase C) Energy D) Force constant and mass
Answer: D
Concept: T = 2π√(m/k)
Concept: T = 2π√(m/k)
Q14. In SHM, when displacement is half of amplitude, the ratio of potential energy to kinetic energy is:
Options:
A) 1 : 3 B) 1 : 1 C) 3 : 1 D) 1 : 4
Options:
A) 1 : 3 B) 1 : 1 C) 3 : 1 D) 1 : 4
Answer: A
Explanation:
PE = ½mω²x² KE = ½mω²(A² − x²) At x = A/2 ⇒ PE : KE = 1 : 3
Explanation:
PE = ½mω²x² KE = ½mω²(A² − x²) At x = A/2 ⇒ PE : KE = 1 : 3
Q15. The phase difference between velocity 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: B
Concept: Acceleration leads velocity by π/2.
Concept: Acceleration leads velocity by π/2.
✅ Stage-1 | Page-3 Completed
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