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Two simple harmonic motions are given by...

Two simple harmonic motions are given by
`y_(1)=A_(1)sinomegat andy_(2)=A_(2)sin(omegat+phi)` are acting on the particles in the same direction .The resultant motion is S.H.M., its amplitude is

A

`sqrt(A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)cosphi)`

B

`sqrt(A_(1)^(2)+A_(2)^(2)-2A_(1)A_(2)cosphi)`

C

`A_(1)^(2)+A_(2)^(2)-2A_(1)A_(2)cosphi`

D

`A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)cosphi`

Text Solution

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The correct Answer is:
A
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