You are given four sources of light each one providing a light of a single colour-red, blue,green and yellow. Suppose the angle of refraction for a beam of yellow light corresponding to a particular angle of incidence at the interface of two media is `90^@`. Which of the folowing statements is correct it the source of yellow light is replaced with that of other lights without changing the angle of incidence ?

Options

A. The beam ofered light would undergo total internal reflection
B. The beam of red light would bend towards the niormal while it gets refracted through the second medium
C. The beam of blue light would undergo total internal reflection
D. The beam of green light would bend away from the normal as it gets refracted through the second medium

Answer

3

Explanation

We know v = f`lambda` the frequency of wave remains unchanged with medium hence v `prop lambda`
The critical angle, sin C = `1/mu`
Also, velocity of light, v`prop 1/mu `
According to VIBGYOR, among all given sources of light, the blue light have smallest wavelength. As `lambda_(blue) lt lambda_(yellow)` hence `v_(blue) lt v_(yellow)` , it means `mu_(blue) gt mu_(yellow)`
It means critical angle for blue is less than yellow colour, the critical angle is least which facilitates total internal reflection for the beam of blue light