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.
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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