Oscillations & Simple Harmonic Motion
Phase 1 – Page 5 | JEE Main MCQs & Elimination Tricks
MCQ 35: Angular Frequency
The displacement of a particle executing SHM is given by: x = 5 cos(8t + π/3). What is its angular frequency?
Options:
- A) 5 rad/s
- B) 8 rad/s
- C) π/3 rad/s
- D) 2π rad/s
Correct Answer: B) 8 rad/s
Elimination Trick: Angular frequency is the coefficient of t. Ignore amplitude and phase.
MCQ 36: Maximum Acceleration
A particle executes SHM with amplitude 0.2 m and ω = 10 rad/s. Find the maximum acceleration.
Options:
- A) 20 m/s²
- B) 40 m/s²
- C) 200 m/s²
- D) 2 m/s²
Correct Answer: B) 40 m/s²
amax = ω²A = 100 × 0.2 = 40
MCQ 37: Energy Ratio
At what displacement does the kinetic energy become three times the potential energy?
Options:
- A) A/2
- B) A/√2
- C) A/√4
- D) √3A/2
Correct Answer: A) A/2
KE : PE = 3 : 1 ⇒ A² − x² = 3x² ⇒ x = A/2
MCQ 38: Time Period Relation
If the angular frequency of an SHM doubles, the time period becomes:
Options:
- A) Double
- B) Half
- C) Four times
- D) Same
Correct Answer: B) Half
Quick Relation: T ∝ 1/ω
MCQ 39: Phase Difference
The phase difference between velocity and acceleration in SHM is:
Options:
- A) 0
- B) π/2
- C) π
- D) 3π/2
Correct Answer: B) π/2
MCQ 40: Acceleration at Mean Position
What is the acceleration of a particle executing SHM at mean position?
Options:
- A) Maximum
- B) Zero
- C) Minimum
- D) Infinite
Correct Answer: B) Zero
MCQ 41: Speed at Extreme Position
The speed of a particle executing SHM at extreme position is:
Options:
- A) Maximum
- B) Minimum
- C) Zero
- D) ωA
Correct Answer: C) Zero
JEE Main Elimination Rules (Must Remember)
- Coefficient of t ⇒ ω
- Mean position ⇒ max speed, zero acceleration
- Extreme position ⇒ zero speed, max acceleration
- Energy ratios remove need for full calculation
- Phase questions are memory-based (no math)
Phase 1 – Page 5 Completed Successfully ✅
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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.
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