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. $d\left(\frac{{\mu }_1{\mu }_2}{{\mu }_1+{\mu }_2}\right)$
• B. $d(\frac{1}{{\mu }_1}+\frac{1}{{\mu }_2})$
• C. $2d(\frac{1}{{\mu }_1}+\frac{1}{{\mu }_2})$
• D. $2d\left(\frac{1}{{\mu }_1{\mu }_2}\right)$

Answer 1

The correct option is B $d(\frac{1}{{\mu }_1}+\frac{1}{{\mu }_2})$

$\mu =\frac{Realdepth}{apparentdepth}{h}^{\prime }=\frac{d_1}{{\mu }_1}+\frac{d_2}{{\mu }_2}=d(\frac{1}{{\mu }_1}+\frac{1}{{\mu }_2})$