Objective Type Questions – SHM (Page 4)

Level: JEE Advanced (High Trap + Reasoning)


Q31. A particle executes SHM. The ratio of its maximum speed to maximum acceleration is:
  1. A
  2. ω
  3. 1/ω
  4. A/ω
Answer: A

Tip: vmax = Aω, amax = Aω²

Q32. In SHM, when displacement is half the amplitude, the fraction of total energy that is kinetic is:
  1. 1/4
  2. 1/2
  3. 3/4
  4. √3/2
Answer: C
Q33. A particle performs SHM. At what phase is its acceleration zero?
  1. π/2
  2. 0
  3. π
  4. π/4
Answer: B

Concept: a = −ω²x → zero at mean position

Q34. The velocity–displacement graph of a particle executing SHM is:
  1. Parabola
  2. Circle
  3. Ellipse
  4. Straight line
Answer: C
Q35. If time period of SHM is T, time taken to move from mean position to A/2 is:
  1. T/6
  2. T/12
  3. T/4
  4. T/8
Answer: B
Q36. In SHM, which pair of quantities are always opposite in direction?
  1. Velocity and displacement
  2. Acceleration and displacement
  3. Velocity and acceleration
  4. Force and velocity
Answer: B
Q37. A particle executes SHM. Which quantity becomes zero twice in one complete oscillation?
  1. Velocity
  2. Acceleration
  3. Kinetic energy
  4. Potential energy
Answer: A
Q38. The phase difference between velocity and displacement in SHM is:
  1. 0
  2. π/2
  3. π
  4. 3π/2
Answer: B
Q39. A particle is released from rest from extreme position. Its initial phase is:
  1. 0
  2. π/2
  3. π
  4. −π/2
Answer: C
Q40. Which of the following is NOT true for SHM?
  1. Acceleration is proportional to displacement
  2. Acceleration is opposite to displacement
  3. Total energy remains constant
  4. Velocity is always proportional to displacement
Answer: D

End of Objective Page 4

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