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The displacement of an object attached t...

The displacement of an object attached to a spring and executing a simple harmonic motion is given by `x=(2xx10^(-2)) "cos" pi t` metre. The time at which the maximum speed first occurs is

A

` 0.5 s`

B

`0.75 s`

C

`0.125 s`

D

`0.25 s`

Text Solution

Verified by Experts

The correct Answer is:
A
`|v| = (2 xx 10^(2-2))(pi)sinomegat`
For `|v|` to be maximum `sinpit = 1`
`pit = (pi)/(2), (3pi)/(2)…….. t = (1)/(2)s `.
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