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  4. Progressive waves are represented by the equation y1=a sin (ω t-x) and y2=b cos (ω t-x) The phase difference between waves is:

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Q. Progressive waves are represented by the equation $ {{y}_{1}}=a\,\sin \,(\omega t-x) $ and $ {{y}_{2}}=b\,\cos \,(\omega t-x) $ The phase difference between waves is:

JIPMERJIPMER 2001

Solution:

As it is dear that the phase difference between $ \cos \theta $ and $ sin\,\theta $ representing two simple harmonic motion is $ 90{}^\circ $ .