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A ray of light travelling inside a recta...

A ray of light travelling inside a rectangular glass block of refractive index`sqrt 2 `is incident on the glass-air surface at an angle of incidence of `45^(@)`. The refractive index of air is one. Under these conditions the ray will

A

will be absorbed

B

will travel in air without any deviation

C

will emerge into air with an angle of refraction equal to `90^(@)`

D

will suffer total internal reflection

Text Solution

Verified by Experts

The correct Answer is:
C
The ray travels from glass to air . Hence we have to consider `""_(w) n_(a)`
`therefore ""_(w) n_(a) = (1)/(""_(a)n_(w)) = (1)/(sqrt2)`
`because n = (sin i)/(sin r)`
`therefore sin r = (sin i)/(""_(w) n_(a)) = (sin 45^(@))/( (1)/(sqrt2)) = ((1)/(sqrt2))/((1)/(sqrt2)) = 1`
Thus sin r = 1 `therefore r = 90^(@)`
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