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Q.

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 in replaced by another plate of the same thickness, the shift of fringes is (3/2)x. The refractive index of the second plate is

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a

1.75

b

1.50

c

1.25

d

1.00

answer is A.

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Detailed Solution

Shift x on the screen is given by,   x=μ−1tDd  For first plate,  x=μ1−1tDd For second plate,  32x=μ2−1tDd  After dividing,  μ2−1μ1−1=32 ⇒μ2−11.5−1=32 ⇒μ2=1.75
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