A small air bubble is trapped inside a transparent cube of size 12 cm. when viewed from one of the vertical forces, the bubble appears to be at 5 cm from it. When viewed from opposite face, it appears at 3 cm from it.

Options

A. The distance of the air bubble from the first face is `7.5 cm` .
B. The distance of the air bubble from the first face is `9 cm` .
C. Refractive index of the material of the prism is `2.0` .
D. Refractive index of the material of the prism is `1.5` .

Answer

A, D

Explanation

Let the bubble `B` is at distance `H` from the face `F_(1) of the cube
`h_(1)=(n_(a))/(n_(c)) H=5 cm`
Similarly when looking from opposite face `F_(2)` ,
`h_(2)=(n_(a))/(n_(v))(12-H)=3 cm`
Solving `H=7.5 cm` and `n_(c)=1.5`