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Question

A load 'm' is attached to a spring of force constant 'k' and stretched it through 'x' and released. it makes oscillation in a vertical plane with a time period 'T'. It is further pulled down through another 'x' and released.Now the time period of vertical oscillation will be

A
T2
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B
2T
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C
T
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D
T4
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Solution

The correct option is C T
Time period of vertical spring mass system is given by :
T=2πmk
so, on furthur extending the spring by 'x' results in greater amplitude, but time period remains same.
so, T=T

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