Geometrical OpticsHard

Question

A ray of light travelling in a transparent medium falls on a surface separating the medium from air at an angle of incidence 45o. The ray undergoes total internal reflection. If n is the refractive index of the medium with respect to air, select the possible value(s) of n from the following

Options

A.1.3
B.1.4
C.1.5
D.1.6

Solution

For total internal reflection to take place
Angle of incidence, i > critical angle, θc
or       sin i > sin θc
or       sin 45o >
or        ]
or        n > √2 or n > 1.414
Therefore, possible values of n can be 1.5 or 1.6 in the given questions.

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