Question

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

Answer

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become twice

Reason

As T ∝ √l

T1/T2 = √l1/√l2

When l2 = 4l then,

T1/T2 = √l / √4l

T1/T2 = √l / 2√l

T1/T2 = 1 / 2

T2 = 2 T1

Hence, time period T will become twice.

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