Simple Harmonic Motion (SHM) – Tough Objective Questions

Stage-1 | Page-8 | Assertion–Reason & Concept Traps (IIT-JEE)


SECTION A: Assertion–Reason Questions

Directions: Choose the correct option:

  • A) Both Assertion and Reason are true, and Reason explains Assertion
  • B) Both true, but Reason does not explain Assertion
  • C) Assertion true, Reason false
  • D) Assertion false, Reason true

Q56. Assertion: In SHM, total energy remains constant.
Reason: Kinetic and potential energies continuously transform into each other.
Answer: A

Q57. Assertion: Acceleration in SHM is maximum at extreme positions.
Reason: Velocity is zero at extreme positions.
Answer: B
Note: Both statements true, but reason does not explain acceleration.

Q58. Assertion: Time period of SHM depends on amplitude.
Reason: Larger amplitude means more distance to cover.
Answer: D

Q59. Assertion: Mean velocity over one complete SHM cycle is zero.
Reason: Net displacement in one time period is zero.
Answer: A

Q60. Assertion: Maximum speed occurs at mean position.
Reason: Restoring force is zero at mean position.
Answer: A

SECTION B: Multi-Statement Objective Questions


Q61. Which of the following quantities become zero at mean position?

1) Displacement 2) Velocity 3) Acceleration 4) Force

Options:
A) 1, 3, 4 B) 1, 2 C) 2 only D) 3, 4
Answer: A

Q62. Which quantities are maximum at extreme positions?

1) Acceleration 2) Velocity 3) Potential Energy 4) Kinetic Energy

Options:
A) 1, 3 B) 2, 4 C) 1, 2 D) 3, 4
Answer: A

Q63. For SHM, which relations are correct?

1) a ∝ −x 2) v² ∝ (A² − x²) 3) KE ∝ x² 4) PE ∝ x²

Options:
A) 1, 2, 4 B) 1, 3 C) 2, 3 D) 1, 2, 3
Answer: A

Q64. In SHM, which statements are correct?

1) Force and acceleration are always in same direction 2) Velocity leads displacement by π/2 3) Acceleration lags displacement by π 4) Energy is conserved

Options:
A) 1, 2, 4 B) 2, 3, 4 C) 1, 3 D) 1, 4
Answer: B

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