Optics 2 Question 19

19. A ray of light travelling in a transparent medium falls on a surface separating the medium from air at an angle of incidence 45. 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

(1998, 2M)

(a) 1.3

(b) 1.4

(c) 1.5

(d) 1.6

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Answer:

Correct Answer: 19. (c, d)

Solution:

  1. For total internal reflection to take place Angle of incidence, i> critical angle, θc

or sini>sinθc or sin45>1/n

or 12>1n or n>2 or n>1.414

Therefore, possible values of n can be 1.5 or 1.6 in the given options.



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