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Physics

A simple pendulum is made by suspending a bob of mass 1 kg by a string of length l. Now if the length of this pendulum is increased to 4l, then its time period T will :

  1. remain the same
  2. become twice
  3. become four times
  4. become half

Measurements

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Answer

become twice

Reason — As T ∝ l\sqrt{l}
When l2 = 4l then,
T24l\sqrt{4l} = 2 l\sqrt{l} = 2T

Hence, time period T will become twice.

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