Two simple harmonic motions of angular frequency \( 100 \mathrm{rads}^{-1} \) and \( 1000 \mathr...

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Two simple harmonic motions of angular frequency \( 100 \mathrm{rads}^{-1} \) and \( 1000 \mathrm{rads}^{-1} \) have the same displacement amplitude. The ratio of their maximum accelerations is
(a) \( 1: 10 \)
(b) \( 1: 10^{2} \)
(c) \( 1: 10^{3} \)
(d) \( 1: 10^{4} \)
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