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MHT CET2019Morning ShiftPhysicsOscillationsActual

A person measures a time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration g 3 , the time period of the pendulum will be

Options

  1. AT 3
  2. B3 T 2
  3. C3 T
  4. DT 3

Correct answer

B. 3 T 2

Step-by-step solution

Time period of simple pendulum inside a stationary lift, T = 2 π l g … (i) Where, l = length of string and g = gravitational acceleration Acceleration of lift in upward direction, a = g 3 ∴ Time period of pendulum, T ' = 2 π l g + a = 2 π l g + g 3 = 2 π 3 l 4 g = 2 π . 3 2 . l g = 3 2 . 2 π l g = 3 2 T [from Eq. (i)]

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