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AP EAMCET202124 Aug 2021Evening ShiftPhysicsOscillationsActual

A simple pendulum, suspended from the ceiling of a lift, has a period of oscillation T , when the lift is at rest. If the lift starts moving upwards with an acceleration a=3 ~g , then the new period will be

Options

  1. A2 T
  2. B4 T
  3. CT 3
  4. DT 2

Correct answer

D. T 2

Step-by-step solution

Given that, T be the time period of simple pendulum when lift is at rest. Then, T=2 l g ...(i) When the lift is moving upwards with an acceleration a=3 g , the new time period will be T^ =2 l g+a =2 l 4 g ...(ii) Dividing Eq. (ii) by Eq. (i), we get T^ T = 2 l g 2 l 4 g = 2 1 T^ = T 2

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