First slide

Introduction-Wave optics

Question

If two light waves having same frequency have intensity ratio 4 : 1 and they interfere, the ratio of maximum to minimum intensity in the pattern will be

Easy

A

9 : 1
B

3 : 1
C

25 : 9
D

16 : 25

Solution

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

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