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Question

Interference fringes are produced by a double slit arrangement and a piece of plane parallel glass of refractive index 1.5 is interposed in one of the interfering beam. If the fringes are displaced through 30 fringe widths for light of wavelength 6×105cm, find the thickness of the plate.

A
1.8×103 cm
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B
5.4×103 cm
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C
3.6×103 cm
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D
7.2×103 cm
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Solution

The correct option is C 3.6×103 cm
The formula for fringe shift is given by,
Δy=βλ(μ1)t

Here,
Δy=30β

(μ1)t=30λ

t=30λμ1=30×6×105×1021.51

=3.6×103×102 m=3.6×103 cm

Hence, option (C) is correct.

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