Two coherent sources of intensities, $I_{1}$ and $I_{2}$ produce an interference pattern. The maximum intensity in the interference pattern will be

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$I_{1} + I_{2}$

${(I_{1} + I_{2})}^{2}$

$I_{1}^{2} + I_{2}^{2}$

${(\sqrt{I_{1}} + \sqrt{I_{2}})}^{2}$

answer is D.

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Detailed Solution

$R e s u l \tan t i n t e n s i t y = I_{R} = I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}} \cos φ$

$F o r m a x i m u m I_{R}, φ = 0^{o}$

$\Rightarrow I_{R} = I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}} = {(\sqrt{I_{1}} + \sqrt{I_{2}})}^{2}$

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