First slide

Young's double slit Experiment

Question

In Young's double slit experiment, number of fringes formed on a given length on the screen is 15. Now the whole experimental set-up is immersed in a liquid of refractive index 5/3. Then number of fringes formed on the same length on the screen is

Moderate

A

9
B

25
C

16
D

27

Solution

Initially fringe width $β = \frac{λD}{d}$
$∴$ Number of fringes formed, $n = \frac{l}{β}$
When immersed in liquid, $β^{1} = \frac{(λ / μ) D}{d} = \frac{β}{μ}$
$∴$ Number of fringes formed, $n^{1} = \frac{l}{β^{1}} = \frac{l}{\frac{β}{μ}} = μ n$
$∴ n^{1} = \frac{5}{3} \times 15 = 25$

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