A vessel is quarter filled with a liquid of refractive index `mu`. The remaining parts of the vessel is filled with an immiscible liquid of refractive index `3mu//2`. The apparent depth of the vessel is 50% of the actual depth. The value of mu is

Options

A. `1`
B. `3//2`
C. `2//3`
D. `4//3`

Answer

B

Explanation

apparent dept `=d_(1)/mu_(1)+d_(2)/mu_(2)`
`h/(4mu)+(3h)/(4xx(3mu)/2)=h/2`
`mu=3/2`