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A simple pendulum having bob of mass m and length of string / has time period of T. If the mass of the bob is doubled and the length of the string is halved, then the time period of this pendulum will be

Options

  1. AT
  2. BT/ 2
  3. C2 T
  4. D2 T

Correct answer

B. T/ 2

Step-by-step solution

Time period of the pendulum is given by, the time period of oscillation of simple pendulum T ,=2 (1 / g)1= length of pendulum and g = acceleration acting on pendulum. If mass is doubled and the length is halved then the new time period (T 2)=2 (0.51 / g )= T / 2

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