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Question: Young's double slit experiment is made in a liquid. The 10<sup>th</sup> bright fringe in liquid lies...

Young's double slit experiment is made in a liquid. The 10th bright fringe in liquid lies where 6th dark fringe lies in vacuum. The refractive index of the liquid is approximately-

A

1.8

B

1.54

C

1.67

D

1.2

Answer

1.67

Explanation

Solution

10 b1 = 10 × λDμd\frac{\lambda D}{\mu d}

in liquid

b2 = λDd\frac{\lambda D}{d}

6b2 = 10b1

6λDd\frac{6\lambda D}{d} = 10λDμd\frac{10\lambda D}{\mu d}

m = 106\frac{10}{6} = 1.67