First slide

Introduction-Wave optics

Question

Two coherent sources have intensity in the ratio of $\frac{100}{1}$ . Ratio of (intensity) max/(intensity) min is

Easy

A

$\frac{1}{100}$
B

$\frac{1}{10}$
C

$\frac{10}{1}$
D

$\frac{3}{2}$

Solution

$\frac{I_{1}}{I_{2}} = \frac{100}{1} Now \frac{I_{max}}{I_{min}} = {(\frac{\sqrt{\frac{I_{1}}{I_{2}}} + 1}{\sqrt{\frac{I_{1}}{I_{2}}} - 1})}^{2} = {(\frac{\sqrt{100} + 1}{\sqrt{100} - 1})}^{2} = \frac{121}{81} \approx \frac{3}{2}$

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