The equation of motion of a particle of mass $1\,g$ is $\frac{{{d^2}x}}{{d{t^2}}} + {\pi ^2}x = 0$ where $x$ is displacement (in $m$ ) from mean position. The frequency of oscillation is .... $s$ (in $Hz$ )
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${\omega ^2} = {\pi ^2} \Rightarrow \omega = \pi \Rightarrow f = \frac{\omega }{{2\pi }} = \frac{\pi }{{2\pi }} = \frac{1}{2}Hz$
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