Two simple harmonic motions of angular frequencies 100 and 1000 rad/s have the same displacement amplitude. The ratio of their maximum accelerations is :

Two simple harmonic motions of angular frequencies 100 and 1000 rad/s have the same displacement amplitude. The ratio of their maximum accelerations is :

1. A

1 : 103

2. B

1: 104

3. C

1 : 10

4. D

1 : 102

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Solution:

Ratio of maximum acceleration,
$\frac{{\mathrm{\omega }}_{1}^{2}\mathrm{a}}{{\mathrm{\omega }}_{2}^{2}\mathrm{a}}={\left(\frac{100}{1000}\right)}^{2}=\frac{1}{100}$

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