A transparent cube of 0.21 m edge contains a small air bubble. Its apparent distance when viewed through one face of the cube is 0.10 m and when viewed from the opposite face is 0.04 m. The actual distance of the bubble from the second face of the cube is

Options

A. 0.06 m
B. 0.17 m
C. 0.05 m
D. 0.04 m

Answer

B

Explanation

`mu=("real distance")/("apparent distance")`
`((0.21-x))/(0.10)=(x)/(0.04)`
`rArr 0.21xx0.04-x xx 0.04=0.10 x`
`rArr 0.21xx0.04=0.14 x rArr x=(0.21xx0.04)/(0.14)`
`rArr x=0.06 m`.
`(0.21-x)=0.15 m`