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

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

A

1.8

B

1.54

C

1.67

D

1.2

Answer

1.8

Explanation

Solution

b =Dλd\frac{D\lambda}{d}

\ 10b¢ = (5.5) b

10l¢ (Dd)\left( \frac{D}{d} \right) = 5.5Dλd\frac{D\lambda}{d}

\ λλ\frac{\lambda}{\lambda'}= 105.5\frac{10}{5.5}= m

\ m = 1.8