Solveeit Logo

Question

Physics Question on Reflection Of Light By Spherical Mirrors

White light is incident on the interface of glass and air as shown in the figure. If green light is just totally internally reflected then the emerging ray in air contains.

A

yellow, orange, red

B

violet, indigo, blue

C

all colours

D

all colours except green

Answer

yellow, orange, red

Explanation

Solution

Critical angle θC=sin1(1μ)\theta_C=sin^{-1} \big(\frac{1}{\mu}\big)
Wavelength increases in the sequence of VIBGYOR.
According to Cauchy's formula refractive index (μ)(\mu)

decreases as the wavelength increases. Hence the refractive

index will increase in the sequence of ROYGBIV. The
critical angle θC\theta_C will thus increase in the same order
VIBGYOR.
For green light the incidence angle is just equal to the critical
angle. For yellow, orange and red the critical angle will be
greater than the incidence angle. So, these colours will
emerge from the glass air interface.
Hence, the correct option is (a).