Two simple harmonic motions of angular frequency 100 and 1000 rad s − 1 have the same displacement amplitude. The ratio of their maximum acceleration is

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Acceleration of simple harmonic motion is or ( a m a x ​ ) 2 ​ ( a m a x ​ ) 1 ​ ​ = ω 2 2 ​ ω 1 2 ​ ​ (as A remains same) or ( a m a x ​ ) 2 ​ ( a m a x ​ ) 1 ​ ​ = = ​ a m a x ​ = − ω 2 A ( 1000 ) 2 ( 100 ) 2 ​ = ( 10 1 ​ ) 2 1 : 1 0 2 ​

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