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SHM in Vertical Spring Block

A mass m is s...

Question

A mass m is suspended by means of two coiled spring which have the same length in unstretched condition as in figure. Their force constant are $k_{1}$ and $k_{2}$ respectively. When set into vertical vibrations, the period will be

A

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B

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C

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D

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Solution

The correct option is D

Given spring system has parallel combination, so

$k_{e q} = k_{1} + k_{2}$ And time period T = $2 π \sqrt{\frac{m}{(k_{1} + k_{2})}}$

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