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Physics-

General

Easy

Question

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

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

The correct answer is: $fraction numerator 1 over denominator 2 pi end fraction square root of fraction numerator K subscript 1 end subscript K subscript 2 end subscript over denominator m left parenthesis K subscript 1 end subscript plus K subscript 2 end subscript right parenthesis end fraction end root$

$n equals fraction numerator 1 over denominator 2 pi end fraction square root of fraction numerator K subscript e q end subscript over denominator m end fraction end root equals fraction numerator 1 over denominator 2 pi end fraction square root of fraction numerator K subscript 1 end subscript K subscript 2 end subscript over denominator left parenthesis K subscript 1 end subscript plus K subscript 2 end subscript right parenthesis m end fraction end root$

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