In Young's double slit experiment, the fringes are displaced
by a distance x when a glass plate of refractive index 1.5 is
introduced in the path of one of the beams. When this
plate is replaced by another plate of the same thickness,
the shift of fringes is (3/2) x. The refractive index of the
second plate is
(a) 1.75 (b) 1.50
(c) 1.25 (d) 1.00
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Explanation:
ANSWER
case I: x=
λ
β
(1.5−1)t
case II:
2
3x
=
λ
β
(μ−1)t
0.5
(μ−1)
=
2
3
⇒μ=
4
3
+1=
4
7
=1.75
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