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^(@)`
`:. angle BOC = 60^(@)`
`:. r+ r = 60^(@) rArr r = 30^(@)`
`:. Mu = (sin 60^(@))/(sin 30^(@)) rArr mu = sqrt(3)`