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

Options

A. `d[(mu_(1)mu_(2))/(mu_(1)+mu_(2))]`
B. `d[(1)/(mu_(1))+(1)/(mu_(2))]`
C. `2d[(1)/(mu_(1))+(1)/(mu_(2))]`
D. `2d[(1)/(mu_(1)mu_(2))]`

Answer

B

Explanation

(b) Apparent depth, `h'=d_(1)/(µ_(1))+d_(2)/(µ_(2))=d/(µ_(1))+d/(µ_(2))=d(1/(µ_(1))+1/µ_(2))`