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The equation of simple harmonic motion o...

The equation of simple harmonic motion of two particle is `x_1=A_1" "sin" "omegat` and `x_2=A_2" "sin(omegat+prop)`. If they superimpose, then the amplitude of the resultant S.H.M. will be

A

`sqrt(A_1^2+A_2^2-2A_1A_2cosprop)`

B

`sqrt(A_1^2-A_2^2-2A_1A_2cosprop)`

C

`sqrt(A_1^2+A_2^2-2A_1A_2sinprop)`

D

`sqrt(A_1^2+A_2^2+2A_1A_2sinprop)`

Text Solution

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The correct Answer is:
B
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