First slide

Coherent sources and their importance in interference

Question

In Young’s double slit experiment, the intensity of light coming from the first slit is double the intensity from the second slit. The ratio of the maximum intensity to the minimum intensity on the interference fringe pattern observed is

Moderate

A

34
B

40
C

25
D

38

Solution

$\frac{I_{max}}{I_{min}} = {(\frac{\sqrt{\frac{I_{1}}{I_{2}}} + 1}{\sqrt{\frac{I_{1}}{I_{2}}} - 1})}^{2} = {(\frac{\sqrt{2} + 1}{\sqrt{2} - 1})}^{2} \approx 34; (given I_{1} = 2 I_{2})$

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