Assertion : The refractive index of diamond is `sqrt(6)` and that of liquid is `sqrt(3)` . If the light travels from diamond to the liquid, it will totally reflected when the angle of incidence is `30^(@)`.
Reason : `mu=1/(sin C)`, where `mu` is the refractive index of diamond with respect to liquid.

Options

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true but R is NOT the correct explanation of A
C. A is true but R is false
D. A is false and R is True

Answer

D

Explanation

Refractive index of diamond with respect to the liquid is `sqrt(6)//sqrt(3) = sqrt(12)` So, critical angle for the diamond-liquid pair of media is `sin^(-1)(1//sqrt(2)) = 45^@`
For total internal reflection, angle of incidences should be greater that critical angle.
Since angle of incidence is `30^@`, total internal reflection cannot take place, So, the assertion is false. But the reason is true.