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Q.

Two harmonic waves travelling in the same medium have frequency ratio 1 : 2 and intensity ratio 1 : 36 . If their amplitude ratio is found to be 1 : n, find the value of n.

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answer is 3.

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Detailed Solution

Power (which is directly proportional to intensity) is given by
P=12μA2ω2v

∴P1P2=I1I2=A12A22⋅ω2ω2

⇒136=A1A22⋅122

⇒A1A2=1:3

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