First slide

Coherent sources and their importance in interference

Question

In Young’s double slit experiment the amplitudes of two sources are 3a and a respectively. The ratio of intensities of bright and dark fringes will be

Easy

A

3 : 1
B

4 : 1
C

2 : 1
D

9 : 1

Solution

$\frac{I_{max}}{I_{min}} = {(\frac{a_{1} + a_{2}}{a_{1} - a_{2}})}^{2} = {(\frac{3 a + a}{3 a - a})}^{2} = \frac{4}{1}$

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