The equation of motion of a particle is \( \frac{d^{2} y}{d t^{2}}+...

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The equation of motion of a particle is \( \frac{d^{2} y}{d t^{2}}+K y=0 \), where \( K \) is positive constant. The time period of the motion is given by
[AIEEE 2005; Similar Odisha JEE 2010]
\( \mathrm{P} \)
(a) \( \frac{2 \pi}{K} \)
(b) \( 2 \pi K \)
(c) \( \frac{2 \pi}{\sqrt{K}} \)
(d) \( 2 \pi \sqrt{K} \)
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