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V-t to a-t Graph

A particle is...

Question

A particle is in SHM. Then the graph of its acceleration as a function of displacement is a

A

circle

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B

hyperbola

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C

straight line with negative slope

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D

straight line with positive slope

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Solution

The correct option is C straight line with negative slope
In SHM
$a = - ω^{2} x$
so, it is a straight line with slope $- ω^{2}$

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