First slide

Condition for Interference

Question

Young's double-slit experiment is made in a liquid. The 10th bright fringe in liquid lies where 6th dark fringe lies in vacuum. The refractive index of the liquid is approximately

Easy

A

1.8
B

1.54
C

1.67
D

1.2

Solution

In liquid wavelength reduces by a factor equal to refractive index of liquid
Path difference is equal for bright and dark condition
$10 \times \frac{λ}{μ} = (2 \times 6 - 1) \frac{λ}{2}$
$\Rightarrow μ = 1.81$

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