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Question

Physics Question on Refraction of Light

A vessel of depth 2d cm is half filled with a liquid of refractive index μ1\mu_{1} and the upper half with a liquid of refractive indexμ2\mu_{2}. The apparent depth of the vessel seen perpendicularly is

A

(μ1μ2μ1+μ2)d\left(\frac{\mu_{1} \mu_{2}}{\mu_{1}+\mu_{2}}\right) d

B

(1μ1+1μ2)d\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right) d

C

(1μ1+1μ2)2d\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right) 2d

D

(1μ1μ2)2d\left(\frac{1}{\mu_{1} \mu_{2}}\right) 2d

Answer

(1μ1+1μ2)d\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right) d

Explanation

Solution

Apparent depth =d/μ1+d/μ2d / \mu_{1}+d / \mu_{2}