The equation of motion of a particle is $\frac{{{d^2}y}}{{d{t^2}}} + Ky = 0$, where $K$ is positive constant. The time period of the motion is given by
AIEEE 2005, Easy
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(c) On comparing with standard equation $\frac{{{d^2}y}}{{d{t^2}}} + {\omega ^2}y = 0$
we get ${\omega ^2} = K $
$\Rightarrow \omega = \frac{{2\pi }}{T} = \sqrt K$
$\Rightarrow T = \frac{{2\pi }}{{\sqrt K }}$.
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