A particle is executing a simple harmonic motion. Its maximum acceleration is \( \alpha \) and m...

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A particle is executing a simple harmonic motion. Its maximum acceleration is \( \alpha \) and maximum velocity is \( \beta \), then its time period of vibration will be
(a) \( \frac{\beta^{2}}{\alpha^{2}} \)
(b) \( \frac{\alpha}{\beta} \)
(c) \( \frac{\beta^{2}}{\alpha} \)
(d) \( \frac{2 \pi \beta}{\alpha} \)
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