Beams of Red, Green and Blue light are incident normally on a right angled prism. The refractive indices are given as µR = 1.39, µG = 1.44 and µB = 1.47. Then the colour which emerges out of face AC will be:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → only Red
for total internal refraction, (i) angle of incidence > critical angle ($i_c$)
and,
$\frac{\sin i}{\sin r}=\frac{μ_1}{μ_2}$ [Snell's law]
$\frac{\sin i}{\sin r}=\frac{1}{μ}$
$∵\sin 45°>\frac{1}{μ}$ [For total internal reflection]
$μ>\sqrt{2}=1.414$
and,
$μ_{red}=1.37<1.414$ → only this will emerge out
$μ_{green}=1.44<1.414$
$μ_{blue}=1.47<1.414$