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The displacement of a particle varies wi...

The displacement of a particle varies with time according to the relation `y=a sin omega t +b cos omega t `.

A

it is an oscillatory motion but not a SHM

B

it is a SHM of amplitude A

C

it is a SHM of amplitude 2A

D

it is a SHM of amplitude`Asqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`y= A "sin" omegat+ A "cos" omegat`
Amplitude `=sqrt(A^(2)+A^(2))=sqrt(2)A`
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