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Question

What will be the percentage change in the time period of a simple pendulum if its length is increased by 5%?


A
1/9%
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B
2.5%
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C
5.2%
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D
9%
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Solution

The correct option is B 2.5%
$$T\propto \sqrt L$$
Thus if $$L'=1.05L$$,
$$T'=T(\sqrt {1.05})=T(1.025)$$
or, change = $$2.5$$%

Physics

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