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 31189

Question

Critical damping occurs when:
  1. A
    γ = 0
  2. B
    γ = ω₀
    Correct
  3. C
    γ > ω₀
  4. D
    γ < ω₀

Correct answer

γ = ω₀

Explanation

Critical damping: γ = ω₀ (or b = 2mω₀ = 2√(km)). System returns to equilibrium as fast as possible without oscillating. Used in door dampers, galvanometers.