A ray of light on a transparent sphere with centre C as shown in the figure. The ray emerges from sphere parallel to line AB. The refractive index of sphere is

Options

A. `sqrt(2)`
B. `sqrt(3)`
C. `3//2`
D. `1//2`

Answer

b.

Explanation

Deviation by a sphere is `2(i-r) `
Here, deviation`delta=60^(@)=2(i-r)`
or `i-r=30^(@)`
`:. r=i-30^(@)=60^(@)-30^(@)=30^(@)`
`:. mu=(sini)/(sinr)=(sin60^(@))/(sin30^(@))=sqrt(3)`