First slide

Applications of SHM

Question

A simple pendulum of length l has a brass bob attached at its lower end. Its period is T. If a steel bob of same size, having density x times that of brass, replaces the brass bob and its length is changed so that period becomes 2T, then new length is

Easy

A

2 l
B

4 l
C

4 l x
D

$\frac{4 l}{x}$

Solution

$T \propto \sqrt{l}$ Time period depends only on effective length. Density has no effect on time period. If length made 4 times then time period becomes 2 times.

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