First slide

Young's double slit Experiment

Question

Two coherent monochromatic light beams of intensities I and 4I are superposed, the maximum and minimum possible intensities in the resulting beam are :

Moderate

A

5I and I
B

5I and 3I
C

9I and I
D

9I and 3I

Solution

$\frac{I_{m a x}}{I_{m i n}} = {(\frac{\sqrt{I_{1}} + \sqrt{I_{2}}}{\sqrt{I_{1}} - \sqrt{I_{2}}})}^{2} = (\frac{\sqrt{4 I_{}} + \sqrt{I_{}}}{\sqrt{4 I_{}} - \sqrt{I_{}}}) = \frac{9}{1}$

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