JEE Physics · Hard

Simple Harmonic Motion: Simple Pendulum MCQ

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

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Simple PendulumHardQuestion 31149

Question

A pendulum oscillates with period T on Earth. Same pendulum in a lift accelerating upward at g/4 has period:
  1. A
    T√(4/5)
    Correct
  2. B
    T√(5/4)
  3. C
    T/√(5/4)
  4. D
    T

Correct answer

T√(4/5)

Explanation

Effective g in upward accelerating lift = g + a = g + g/4 = 5g/4. T' = 2π√(L/(5g/4)) = 2π√(4L/5g) = T√(4/5).