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The time period of oscillation of a simple pendulum having length L and mass off the bob m is given as T . If the length of the pendulum is increased to 4 L and the mass of the bob is increased to 2 m , then which one of the following is the new period of oscillation?

Options

  1. AT
  2. B2T
  3. C4T
  4. DT/2

Correct answer

B. 2T

Step-by-step solution

Time period of a pendulum is given by T =2 l / g If length is now 41 then the new time period T ₂ will be 2 4 l / g Hence, the new time period of oscillation T ₂=2 ~T

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