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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

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1.2

1.8

1.67

1.54

answer is A.

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Detailed Solution

In liquid wavelength reduces by a factor equal to refractive index of liquid

Path difference is equal for bright and dark condition

$10 \times \frac{λ}{μ} = (2 \times 6 - 1) \frac{λ}{2}$

$\Rightarrow μ = 1.81$

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