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The amplitude and the periodic time of a...

The amplitude and the periodic time of a S.H.M. are 5 cm and 6 sec respectively. At a distance of 2.5 cm away from the mean position, the phase will be

A

`(pi)/(3)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(5pi)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
C
(c) The equation of motion is given as
`y=5"sin"(2pit)/(6)`
Here, `y=2.5 cm`
`therefore 2.5=5 "sin"(2pit)/(6)`
`implies(pi)/(6)=(2pit)/(6)`
`implies t=(1)/(2)s`
`therefore` The phase `=(2pit)/(6)=(2pi)/(6)xx(1)/(2)=(pi)/(6)`
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