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Question

A mass is suspended from a spring having spring constant k is displaced vertically and released, it oscillates with period T. The weight of the mass suspended is _________. (g = gravitational acceleration)

A
kTg4π2
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B
kT2g4π2
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C
kTg2π2
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D
kT2g2π2
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Solution

The correct option is A kT2g4π2
Time period of a spring-block system executing SHM is T=2πMk
where, M and k is the mass of the block and spring constant respectively.
On squaring both sides and solving, we get M=kT24π2
Weight of the mass suspended, W=Mg=kT2g4π2

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