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Question

A particle executes simple harmonic motion under the restoring force provided by a spring. The time period is T. If the spring is divided in two equal parts and one is used to continue the simple harmonic motion, the time period will

A
Remain T
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B
Become 2T
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C
Become T2
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D
become T2
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Solution

The correct option is D become T2
If a spring is divided into n equal parts then its spring constant becomes n times. So,
Ti=2πmKKj=2K
So,
Tf=2πm2KTiTf=2Tf=T2

940603_293894_ans_1e6afe31e2164e18b7138f3a493e024f.JPG

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