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Question

A ray of light travelling in a transparent medium of refractive index falls on a surface separating the medium from the air at an angle of incidence of 45. For which of the following values of the ray can undergo total internal reflection?
  1. 1.5
  2. 1.41
  3. 1.33
  4. 1.75

A
1.33
B
1.5
C
1.41
D
1.75
Solution
Verified by Toppr

We know, the refractive index of air is 1, Let the refractive index of medium be η
The angle of incidence is given as 450
For total internal reflection, the angle of refraction must be 900
For total internal reflection, η×sin451×sin90
n2
n1.414
So the possible value of η is 1.5,
Therefore the correct option is B.

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