A ray of light falls on a transparent sphere with center at C as shown in Figure . The ray emerges fromk the sphere paralllel to line AB. Find the refractive index of the sphere.

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)`