Question

A vessel of depth $2dcm$ 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 $=\frac{d}{{\mu }_1}+\frac{d}{{\mu }_2}$