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Instantaneous Velocity

Two waves of ...

Question

Two waves of intensities $I$ and $4 I$ produce interference. Then the intensity of constructive and destructive interferences respectively are

A

3 I, 5 I

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B

5 I, 3 I

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C

I, 9 I

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D

9 I, I

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Solution

The correct option is D $9 I, I$
$I_{m a x} = (\sqrt{I_{1}} + \sqrt{I_{2}})^{2} = 9 I I_{m i n} = (\sqrt{I_{1}} - \sqrt{I_{2}})^{2} = I$

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