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Q.

The frequency of oscillation of the springs shown in the figure will be

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a

$\frac{1}{2 π} \sqrt{\frac{K_{1}}{m}}$

b

$\frac{1}{2 π} \sqrt{\frac{(K_{1} + K_{2}) m}{K_{1} K_{2}}}$

c

$2 π \sqrt{\frac{K_{2}}{m}}$

d

$\frac{1}{2 π} \sqrt{\frac{K_{1} K_{2}}{m (K_{1} + K_{2})}}$

answer is D.

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Detailed Solution

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$n = \frac{1}{2 π} \sqrt{\frac{k_{eq}}{m}} = \frac{1}{2 π} \sqrt{\frac{k_{1} k_{2}}{(k_{1} + k_{2}) m}}$

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