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The velocities of light in air and glass are 3.0 x 108ms-...

The velocities of light in air and glass are 3.0 x 108ms-1 and 2.0 x 108ms-1 respectively. If the angle of refraction is 30°, the sine of the angle of incidence is

A.

0.33

B.

0.50

C.

0.67

D.

0.75

Correct answer is D

Refractive index
= SiniSinr = Vel. of light in airvel. of light in glass

= SiniSin30o= 3.0×1082.0×108

= Sin i = (3.0×108×Sin30o)2.0×108

= Sin i = (3.0×108×0.5)2.0×108

= 1.52

= 0.75