JEE Physics · Hard

Simple Harmonic Motion: Time Period MCQ

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

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Time PeriodHardQuestion 31176

Question

A mass hanging on a spring is in equilibrium. If spring elongation at equilibrium is d, time period of vertical oscillation is:
  1. A
    2π√(d/g)
    Correct
  2. B
    2π√(g/d)
  3. C
    π√(d/g)
  4. D
    2π√(m/d)

Correct answer

2π√(d/g)

Explanation

At equilibrium: kd = mg → k/m = g/d. T = 2π/ω = 2π/√(k/m) = 2π√(d/g).