First slide

Coherent sources and their importance in interference

Question

Two coherent sources of different intensities send waves which interfere. The ratio of maximum intensity to the minimum intensity is 25. The intensities of the sources are in the ratio

Easy

A

25 : 1
B

5 : 1
C

9 : 4
D

25 : 16

Solution

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

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