JEE Physics · Hard

Simple Harmonic Motion: Damped SHM MCQ

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

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Damped SHMHardQuestion 31186

Question

Energy of a damped oscillator decays as:
  1. A
    Linearly
  2. B
    e^(−γt)
  3. C
    e^(−2γt)
    Correct
  4. D
    1/t

Correct answer

e^(−2γt)

Explanation

Amplitude A(t) = A₀e^(−γt). Energy ∝ A² ∝ e^(−2γt). Energy decays at twice the rate of amplitude.