First slide

Superposition of waves

Question

The two interfering waves have intensities in the ratio 9 : 4. The ratio of intensities of maxima and minima in the interference pattern will be

Easy

A

1 : 25
B

25 : 1
C

9 : 4
D

4 : 9

Solution

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

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