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If a simple harmonic motion is represent...

If a simple harmonic motion is represented by `(d^(2)x)/(dt^(2))+ax=0`,
its time period is.

A

`(2pi)/(a)`

B

`2pi a`

C

`(2pi)/(sqrt(a)`

D

`2pi sqrt(a)`

Text Solution

Verified by Experts

The correct Answer is:
C
On comparing with standered equation `(d^(2)y)/(dt^(2) + omega^(2) y = 0`
we get `omega^(2) = a rArr omega = (2pi)/(T) = sqrt(a) rArr = (2pi)/(sqrt(a)`
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