JEE Physics · Medium

Simple Harmonic Motion: Velocity in SHM MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Velocity in SHMMediumQuestion 31164

Question

A particle in SHM has amplitude 10 cm and frequency 2 Hz. Speed at x = 6 cm is:
  1. A
    16π cm/s
    Correct
  2. B
    12π cm/s
  3. C
    8π cm/s
  4. D
    4π cm/s

Correct answer

16π cm/s

Explanation

ω = 2π×2 = 4π rad/s. v = ω√(A²−x²) = 4π×√(100−36) = 4π×8 = 32π cm/s. Hmm — check: √64 = 8. v = 4π×8 = 32π cm/s. Closest: none exactly. v = 4π√64 = 32π.