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Physics
The frequency of oscillation of the springs shown in the figure will be <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-8y9v7wid18ciuw40.jpg />
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Q. The frequency of oscillation of the springs shown in the figure will be
NTA Abhyas
NTA Abhyas 2020
A
$\frac{1}{2 \pi }\sqrt{\frac{K}{m}}$
B
$\frac{1}{2 \pi }\sqrt{\frac{\left(K_{1} + K_{2}\right) m}{K_{1} K_{2}}}$
C
$2\pi \sqrt{\frac{K}{m}}$
D
$\frac{1}{2 \pi }\sqrt{\frac{K_{1} K_{2}}{m \left(K_{1} + K_{2}\right)}}$
Solution:
$n=\frac{1}{2 \pi }\sqrt{\frac{k_{eq}}{m}}=\frac{1}{2 \pi }\sqrt{\frac{k_{1} k_{2}}{\left(k_{1} + k_{2}\right) m}}$
