Geometrical OpticsHard
Question
A ray of light travelling in a transparent medium of refractive index μ, falls on a surfaces parting the medium from the air at an angle of incidence of 45o . For which of the following value of μ the ray can undergo total internal reflection?
Options
A.μ = 1.33
B.μ = 1.40
C.μ = 1.50
D.μ = 1.25
Solution
For total internal reflection,
sin i > sin C
where,
i = angle of incidence
C = critical angle
But, sin C =
∴ sin i > or μ > 
μ >
(i = 45o(Given))
μ > √2
Hence, option (c) is correct.
sin i > sin C
where,
i = angle of incidence
C = critical angle
But, sin C =
∴ sin i >
or μ > μ >
(i = 45o(Given))μ > √2
Hence, option (c) is correct.
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