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

Answer 1

Answer: (B)

$d \left( \frac { 1 } { \mu _ { 1 } } + \frac { 1 } { \mu _ { 2 } } \right)$

Answer 2

$h ^ { \prime } = \frac { d _ { 1 } } { \mu _ { 1 } } + \frac { d _ { 2 } } { \mu _ { 2 } } = d \left( \frac { 1 } { \mu _ { 1 } } + \frac { 1 } { \mu _ { 2 } } \right)$