Simple Harmonic Motion (SHM)

Objective Questions – Page 8 (JEE Advanced Level)

                                            
Simple harmonic motion material


SECTION A: Multi-Statement / Assertion Logic

  1. Statement-I: Velocity of a particle in SHM is maximum at mean position.
    Statement-II: Acceleration is zero at mean position.
    Answer: Both true and Statement-II explains Statement-I
  2. Statement-I: Total energy in SHM is conserved.
    Statement-II: Work done by restoring force over one cycle is zero.
    Answer: Both true and Statement-II explains Statement-I
  3. Statement-I: Acceleration and displacement are always opposite in direction.
    Statement-II: Acceleration is proportional to displacement.
    Answer: Both true but Statement-II does NOT explain Statement-I
  4. Statement-I: Time period of SHM is independent of amplitude.
    Statement-II: SHM is an isochronous motion.
    Answer: Both true and Statement-II explains Statement-I
  5. Statement-I: Particle spends more time near extreme positions.
    Statement-II: Velocity is minimum near extreme positions.
    Answer: Both true and Statement-II explains Statement-I
  6. Statement-I: At mean position, potential energy is zero.
    Statement-II: Kinetic energy is maximum at mean position.
    Answer: Both true but Statement-II does NOT explain Statement-I
  7. Statement-I: Acceleration changes sign at mean position.
    Statement-II: Displacement changes sign at mean position.
    Answer: Both true and independent
  8. Statement-I: Phase difference between velocity and displacement is π/2.
    Statement-II: Velocity is derivative of displacement.
    Answer: Both true and Statement-II explains Statement-I

SECTION B: Match the Following

Column-I

  • (A) Displacement vs Time
  • (B) Velocity vs Time
  • (C) Acceleration vs Displacement
  • (D) Kinetic Energy vs Displacement

Column-II

  • (1) Straight line with negative slope
  • (2) Parabolic curve
  • (3) Sinusoidal curve
  • (4) Cosine curve

Correct Matching:
A → 3, B → 4, C → 1, D → 2


SECTION C: One-Line Elimination Questions

  1. Which quantity becomes zero only once in one cycle?
    Answer: Displacement
  2. Which quantity changes sign twice in one cycle?
    Answer: Velocity
  3. Which graph is always linear?
    Answer: Acceleration vs displacement
  4. Best method to solve “time between two positions” is:
    Answer: Phase angle method
  5. SHM assumption fails when:
    Answer: Restoring force is not proportional to displacement

JEE ADVANCED TRAP:
In Assertion–Reason, do NOT match words — match logic.


Topper Shortcut:
If graph looks straight → think proportionality. If curve → think energy or square dependence.


Objective Page–8 Completed Successfully

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🔹 Simple Harmonic Motion (SHM) — Core Series

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🔹 Simple Harmonic Motion (SHM) — Extended Series (30–56)

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