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Question

Young's double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in air. The refractive index of the medium is nearly

A
1.59
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B
1.69
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C
1.78
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D
1.25
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Solution

The correct option is C 1.78
In medium λmedium=λairμ
λ=λμ
For Air, 5th dark,
ys=(2m1)λD2d
For m=5, ys=9λD2d
For bright in medium (n=8)
y=nλDd, λ=λμ
y=8λμDd
y=y
9×D2d=8×Dμd
μ=8×29
μ=1.78

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