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  4. Two sound waves travel in the same direction in a medium. The amplitude of each wave is A and the phase difference between the two waves is 120°. The resultant amptitude will be

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Q. Two sound waves travel in the same direction in a medium. The amplitude of each wave is $A$ and the phase difference between the two waves is $120^{\circ}$. The resultant amptitude will be

KEAMKEAM 2011Waves

Solution:

$ R = \sqrt{P^2 + Q^2 + 2 PQ \, cos^2 \, \theta}$
$ = \sqrt{A^2 + A^2 + 2A^2 \, cos^2 \, 120^{\circ}} = A $

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