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The amplitude and the time period in a S...

The amplitude and the time period in a S.H.M. is 0.5 cm and 0.4 sec respectively. If the initial phase is `pi//2` radian, then the equation of S.H.M. will be

A

y=0.5 sin 5`pit`

B

y=0.5 sin 4`pit`

C

y=0.5 sin 2.5`pit`

D

y=0.5 cos `5pit`

Text Solution

Verified by Experts

The correct Answer is:
D

`y=a"sin"(omegat+phi)=a"sin"((2pi)/(T)+phi)`
`implies y=0.5 "sin" ((2pi)/(0.4)t+(pi)/(2))`
`y=0.5 "sin"(5pit+(pi)/(2))=0.5 "cos" 5pit`
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