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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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1.54

1.67

1.2

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detailed solution

Correct option is A

Fringe width ω=λDd. When the apparatus is immersed in a liquid, λ and hence ω is reduced μ (refractive index) times. 10ω′=(5.5)ω⇒10λ′Dd=(5.5)λDd⇒λλ′=105.5=μ⇒μ=1.8

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