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

`d_("app") = (d_("actual"))/(mu)`
`therefore " " d_("app") = (d_(1))/(mu_(1)) + (d_(2))/(mu_(2)) = d ( (1)/(mu_(1)) + (1)/(mu_(2)) )` .