Oscillations & Simple Harmonic Motion
Phase 1 – Page 6 | Conceptual & Calculation-Based Questions
MCQ 42: Displacement at Given Time
A particle executes SHM according to the equation: x = 10 sin(5t). Find the displacement at t = π/10 s.
Options:
- A) 0
- B) 5 cm
- C) 10 cm
- D) 7.07 cm
Correct Answer: C) 10 cm
At t = π/10: 5t = π/2 ⇒ sin(π/2) = 1 ⇒ x = 10 cm
MCQ 43: Speed at Given Displacement
A particle executes SHM with amplitude A and angular frequency ω. What is the speed at displacement x?
Options:
- A) ωx
- B) ωA
- C) ω√(A² − x²)
- D) ω²x
Correct Answer: C) ω√(A² − x²)
Remember Formula: v = ω√(A² − x²)
MCQ 44: Time Period of Spring-Mass System
A mass m is attached to a spring of spring constant k. The time period of oscillation is:
Options:
- A) 2π√(k/m)
- B) 2π√(m/k)
- C) √(m/k)
- D) π√(m/k)
Correct Answer: B) 2π√(m/k)
MCQ 45: Effect of Amplitude on Time Period
If the amplitude of SHM is doubled, the time period becomes:
Options:
- A) Double
- B) Half
- C) Four times
- D) Same
Correct Answer: D) Same
Key Concept: Time period of ideal SHM is independent of amplitude.
MCQ 46: Phase at Mean Position
At mean position, the phase of a particle executing SHM is:
Options:
- A) 0 or π
- B) π/2 or 3π/2
- C) π/4
- D) Cannot be determined
Correct Answer: B) π/2 or 3π/2
MCQ 47: Energy at Extreme Position
At extreme position, the total energy of SHM is:
Options:
- A) Zero
- B) Only kinetic energy
- C) Only potential energy
- D) Half kinetic, half potential
Correct Answer: C) Only potential energy
MCQ 48: Relation Between a and x
The acceleration a of a particle in SHM is related to displacement x by:
Options:
- A) a ∝ x
- B) a ∝ 1/x
- C) a ∝ x²
- D) a = constant
Correct Answer: A) a ∝ x
More precisely: a = −ω²x
JEE Focus – What This Page Trains
- Substitution-based questions
- Direct formula recall
- Understanding physical meaning of formulas
- Avoiding amplitude-time confusion
- Phase interpretation without overthinking
Phase 1 – Page 6 Completed Successfully ✅
📚 IIT–JEE Physics Complete Library
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🔹 Simple Harmonic Motion (SHM) — Core Series
Coverage: Concepts → PYQs → Advanced Thinking → Exam Readiness
- SHM – Final Exam Day Checklist
- SHM Part 2
- SHM Part 3
- SHM Part 4
- SHM Part 5
- SHM Part 6
- SHM Part 7
- SHM Part 8
- SHM Part 9
- SHM Part 10
- SHM Part 11
- SHM Part 12
- SHM Part 13
- SHM Part 14
- SHM Part 15
- SHM Part 16
- SHM Part 17
- SHM Part 18
- SHM Part 19
- SHM Part 20
- SHM Part 21
- SHM Part 22
- SHM Part 23
- SHM Part 24
- SHM Part 25
- SHM Part 26
- SHM Part 27
- SHM Part 28
- SHM Part 29
🔹 Simple Harmonic Motion (SHM) — Extended Series (30–56)
These pages are placed separately for continuity & reference.
30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56
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