JEE Physics · Hard

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 SHMHardQuestion 31115

Question

At displacement x = A/2, speed as fraction of maximum speed is:
  1. A
    1/2
  2. B
    √3/2
    Correct
  3. C
    1/√2
  4. D
    √2/2

Correct answer

√3/2

Explanation

v = ω√(A² − x²) = ω√(A² − A²/4) = ωA√(3/4) = v_max × (√3/2).