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Differentiation

In simple har...

Question

In simple harmonic motion. Which one of the following quantities has constant ratio with acceleration :-

A

Time

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B

Displacement

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C

Velocity

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D

Mass

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Solution

The correct option is B Displacement
In S.H.M $a = - w^{2} x$
$\Rightarrow \frac{a c c e l e r a t i o n}{d i s p l a c e m e n t} = \frac{a}{x} = - w^{2}$ = constant

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