Q. 55.0( 5 Votes )

# You are given fou

Answer :

The light is clearly bent away from the normal. Hence, we are moving from optically denser medium to optically lighter medium. Let the light move from medium 1 to medium 2. Let the refractive index of 1 with respect to 2 be n.

By Snell’s law,

where θ_{i} is the angle of incidence and θ_{r} is the angle of refraction. The θ_{i} at which θ_{r} = 90° is known as the critical angle. Substitute θ_{i} = θ_{c} and θ_{r} = 90^{°},

If the angle of incidence larger than critical angle, there is no refraction but only reflection. This is known as total internal reflection.

Option (a):

‘n’ is larger for yellow than for red. Hence, the critical angle for red is larger. Thus, there is no way that red light will go through total internal reflection at the critical angle for yellow.

Option (b):

We have established that the first medium is optically denser that the first medium. Hence, light always bends away from the normal.

Option (c):

‘n’ for blue is more than that for yellow. Hence, the critical angle for blue is less than that for yellow. Hence, blue will go total internal reflection if it is incident at an angle equal to the critical angle for yellow. Hence, (c) is correct.

Option (d):

‘n’ for green is more than that for yellow. Hence, the critical angle for green is less than that for yellow. Hence, blue will go total internal reflection if it is incident at an angle equal to the critical angle for yellow. Hence, (d) is incorrect.

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