First slide

Introduction-Wave optics

Question

Two waves having intensity in the ratio 25 : 4 produce interference. The ratio of the maximum to the minimum intensity is

Easy

A

5 : 2
B

7 : 3
C

49 : 9
D

9 : 49

Solution

$\frac{I_{max}}{I_{min}} = {(\frac{\sqrt{\frac{I_{1}}{I_{2}}} + 1}{\sqrt{\frac{I_{1}}{I_{2}}} - 1})}^{2} = {(\frac{\sqrt{\frac{25}{4}} + 1}{\sqrt{\frac{25}{4}} - 1})}^{2} = \frac{49}{9}$

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