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Q.

Two waves of the same frequency have amplitudes 2 and 4. They interfere at a point where their phase difference is 60°. Their resultant amplitude is 7×n .The value of n is ________ .

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answer is 4.

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Detailed Solution

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The resultant amplitude is given by
R=a12+a22+2a1a2cosϕ1/2=22+42+2×2×4×cos601/2=28 = 7×nn=4

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