A small air bubble in a glass sphere of radius `2 cm` appears to be `1 cm` from the surface when looked at, along a diameter. If the refractive index of glass is `1.5`, find the true position of the air bubble.
.

Options

A. 1.2 cm
B. 3.2 cm
C. 2.8 cm
D. 1.6 cm

Answer

A

Explanation

`mu_1=(3)/(2),mu_2=1.0,mu=-x,v=-1cm`
`R=-2cm`
`(mu_2)/(v)-(mu_1)/(u)=(mu_2-mu_1)/(R)`
`(1)/(-1)-((3)/(2))/(-x)=(1-(3)/(2))/(-2)`
`-1+(3)/(2x)=(1)/(4)`
`(3)/(2x)=(5)/(4)implies(6)/(5)=1.2cm`