question_answer

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                                         [SCRA 1994]

A)            \[d\,\left( \frac{{{\mu }_{1}}{{\mu }_{2}}}{{{\mu }_{1}}+{{\mu }_{2}}} \right)\]       

B)            \[d\,\left( \frac{1}{{{\mu }_{1}}}+\frac{1}{{{\mu }_{2}}} \right)\]

C)            \[2d\,\left( \frac{1}{{{\mu }_{1}}}+\frac{1}{{{\mu }_{2}}} \right)\] 

D)            \[2d\,\left( \frac{1}{{{\mu }_{1}}{{\mu }_{2}}} \right)\]