The bottom of a container is a 4.0 cm thick glass `(mu = 1.5)` slab. The container contains two immiscible liquids A and B of depth 6.0 cm and 8.0 cm respectively. What is the apparent position of a scratch on the outer surface of the bottom of the glass slab when viewed through the container? Refractive indices of A and B are 1.4 and 1.3 respectively.

Explanation

`x =d_(1) [1-(1)/(mu_(1))] + d_(2) [1- (1)/(mu_(2))] + d_(2) [1- (1)/(mu_(3))]`
`=4 [1- (1)/(1.5)] + 6 [ 1-(1)/(14)] + 8 [1-(1)/(1.3)]`
`=4 xx(0.5)/(1.5) +6xx (0.4)/( 1.4) + 8 xx (0.3)/( 1.3) =4.88 cm `