Two coherent light sources of intensity ratio n are employed in an interference experiment. The ratio of the intensities of the maxima and minima in the interference pattern is

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$(\frac{n + 1}{n - 1})$

$(\frac{\sqrt{n} + 1}{\sqrt{n} - 1})$

${(\frac{n + 1}{n - 1})}^{2}$

${(\frac{\sqrt{n} + 1}{\sqrt{n} - 1})}^{2}$

answer is D.

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Detailed Solution

Intensity of a wave is proportional to the square of the amplitude.

$I \propto A^{2}$

$\Rightarrow \frac{A_{1}}{A_{2}} = \frac{\sqrt{I_{1}}}{\sqrt{I_{2}}} = \frac{\sqrt{n}}{1}$

Ratio of maximum to minimum intensities is

$\frac{I_{m a x}}{I_{m i n}} = {(\frac{A_{1} + A_{2}}{A_{1} - A_{2}})}^{2} = {(\frac{\sqrt{n} + 1}{\sqrt{n} - 1})}^{2}$

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