A particle is excuting a simple harmonic motion. Its maximum acceleration is $\alpha $ and maximum velocity is $\beta $. Then its frequency of vibration will be
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$a_{\max }=\alpha \Rightarrow \omega^{2} A=\alpha$ $...(1)$
$\mathrm{V}_{\max }=\beta \Rightarrow \omega \mathrm{A}=\beta$ $...(2)$
Dividing
$\omega=\frac{\alpha}{\beta} \Rightarrow n=\frac{\alpha}{2 \pi \beta}$
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