Question

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

• A. $\left(\frac{\mu_{1} \mu_{2}}{\mu_{1}+\mu_{2}}\right) d$
• B. $\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right) d$
• C. $\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right) 2d$
• D. $\left(\frac{1}{\mu_{1} \mu_{2}}\right) 2d$

Answer 1

Answer: (B)

Net apparent depth is the sum of individual apparent depth due to each layer.
Net apparent depth $=\frac{ d }{\mu_{1}}+\frac{ d }{\mu_{2}}$