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Q.

Two waves of intensities I and 4I superpose, then the maximum and minimum intensities produced are:

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a

5I and 3I

b

9I and I

c

9I and 3I

d

5I and I

answer is B.

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Detailed Solution

$I_{\max} = {(\sqrt{I_{1}} + \sqrt{I_{2}})}^{2} \Rightarrow I_{\max} = {(\sqrt{I} + \sqrt{4 I})}^{2} \Rightarrow I_{\max} = 9 I I_{\min} = {(\sqrt{I_{1}} - \sqrt{I_{2}})}^{2} \Rightarrow I_{\min} = {(\sqrt{I} - \sqrt{4 I})}^{2} \Rightarrow I_{\min} = I$

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