First slide

In YDSE one of the slits is covered with a thin transparent sheet

Question

A flake of glass (refractive index 1.5) is placed over one of the openings of a double slit apparatus. The interference pattern displaces itself through seven successive maxima towards the side where the flake is placed. if wavelength of the diffracted light is $λ = 600 nm,$ then the thickness of the flake is

Moderate

A

2100 nm
B

4200 nm
C

8400 nm
D

None of these

Solution

$Shift = \frac{β}{λ} (μ - 1) t$
$\Rightarrow 7 β = \frac{β}{λ} (μ - 1) t \Rightarrow t = \frac{7 λ}{(μ - 1)}$
$= \frac{7 \times 600}{(1 .5 - 1)} = 8400 nm$

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