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

Options

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

Answer

B

Explanation

In diagram angle of emergence `=60^(@)`
`:. angleBOC=60^(@) `
`:. r+r'=60^(@) rArr r=30^(@)`
`:. Mu=(sin 60^(@))/(sin 30^(@)) rArr mu =sqrt(3)`