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The motion of a particle varies with tim...

The motion of a particle varies with time according to the relation `y=a (sinomegat + cos omegat)` ,then

A

The motion is oscillatory but not S.H.M.

B

The motion is SHM with amplitude a

C

The motion is S.H.M. with amplitude `asqrt2`

D

The motion is SHM with amplitude 2a

Text Solution

Verified by Experts

The correct Answer is:
C
`y=a(sinomegat+cosomegat)`
`y=asqrt(2)sin(omegat+phi),phi=(pi)/(4)=tan^(-1)((1)/(1))`.
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