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(B) The critical angle $i_c$ is given by $i_c = \sin^{-1}(1/n)$.According to Cauchy's equation,the refractive index $n$ is inversely proportional to t

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violet,indigo,blue

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(B) The critical angle $i_c$ is given by $i_c = \sin^{-1}(1/n)$.According to Cauchy's equation,the refractive index $n$ is inversely proportional to the wavelength $\lambda$ $(n \propto 1/\lambda)$.Violet,indigo,and blue light have smaller wavelengths than green light,so the refractive index $n$ for these colors is higher than that for green light.Since $i_c = \sin^{-1}(1/n)$,a higher refractive index $n$ results in a smaller critical angle $i_c$.Therefore,the critical angle for violet,indigo,and blue light is smaller than the angle of incidence (which is equal to the critical angle for green light).Consequently,these colors will undergo total internal reflection.Conversely,red,orange,and yellow light have longer wavelengths than green light,resulting in a lower refractive index and a larger critical angle,so they will emerge out into the air.

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 reflected rays inside the glass contain:

Similar Questions

$A$ glass prism of refractive index $1.5$ is immersed in water (refractive index $4/3$) as shown in the figure. $A$ light beam incident normally on face $AB$ undergoes total internal reflection at face $BC$.

$A$ wide container is filled with water $\left(\mu=\frac{4}{3}\right)$ up to a height of $1 \ m$. Find the diameter of the disc at the top of the water surface from which light is coming out.

Assertion: The maximum refractive index of the liquid for total internal reflection of the ray passing through the prism as shown in the figure must be $\sqrt 2$.
Reason: Here,the critical angle is $45^o$.

Assertion: Critical angle is minimum for violet colour.
Reason: Because critical angle $\theta_c = \sin^{-1} \left( \frac{1}{\mu} \right)$ and $\mu \propto \frac{1}{\lambda}$.

What is the least radius through which an optical fiber of core diameter $0.05 \, mm$ may be bent (as shown in figure) without serious loss of light (in $, mm$)? The refractive index of the core is $1.6$ and that of cladding is $1.5$.

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