Question

vessel depth x is half filled with oil of refractive index $\mu _ { 1 }$and the other half is filled with water of refractive index $\mu _ { 2 }$The apparent depth of the vessel when viewed from above is:

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

Answer 1

Answer: (A)

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

Answer 2

:

As refractive index, $\mu = \frac { \text { Realdepth } } { \text { Apparent depth } }$

$\therefore$Apparent depth of the vessel when viewed from above is

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