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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

1.5

D

1.6

Text Solution

Verified by Experts

The correct Answer is:
c.,d.
For total internal reflection to take place: Angle of incidence,
`i gt` critical angle, `theta_(c) ["where" sintheta_(c)=(1)/(n)]`
or `sin45^(@) gt (1)/(n)` or `(1)/(sqrt(2)) gt (1)/(n)` or `gt sqrt(2)` or n gt 1.414`
Therefore, possible values of n can be 1.5 or 1.6 in the given options.
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