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A ray of light traveling in a tranparent...

A ray of light traveling in a tranparent medium falls on a surface separating the medidum from air at an angle of incidence of `45^(@)` . The ray undergoes total internal refrlection. If n is the refractive index of the medium with respect to air, select the possible value (s) of n from the following:

A

`1.3`

B

`1.4`

C

`1.35`

D

`1.6`

Text Solution

Verified by Experts

The correct Answer is:
D
For T.I.R. `igt C ` and `sin C = (1)/(n)`
`therefore sin igt sin C`
`sin 45^(@) gt (1)/(n)`
`(1)/(sqrt2) gt (1)/(n)`
`therefore n gt 1sqrt2 or n gt 1.414`
`therefore` In the given options , n = 1.6 is the correct option.
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