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when two displacements represented by y(...

when two displacements represented by `y_(1) = a sin(omega t)` and `y_(2) = b cos (omega t)` are superimposed the motion is

A

Not a simple harmonic

B

Simple harmonic with amplitude `a/b`

C

Simple harmonic with amplitude `sqrt(a^2+b^2)`

D

Simple harmonic with amplitude `((a+b))/(2)`

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The correct Answer is:
C
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