The critical angle is theta for light going f | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) For total internal reflection at the critical angle $	heta$,the angle of refraction is $\frac{\pi}{2}$.Using Snell's law at the interface between

Vedclass · Accepted Answer

$\frac{V_{P}}{\sin 	heta}$

Vedclass · Answer

(A) For total internal reflection at the critical angle $	heta$,the angle of refraction is $\frac{\pi}{2}$.Using Snell's law at the interface between medium $P$ and medium $Q$:$n_{P} \sin 	heta = n_{Q} \sin \left(\frac{\pi}{2}ight)$Since $\sin \left(\frac{\pi}{2}ight) = 1$,we have $n_{P} \sin 	heta = n_{Q}$.This implies $\frac{n_{P}}{n_{Q}} = \frac{1}{\sin 	heta}$.The refractive index $n$ is inversely proportional to the speed of light $V$ in that medium $(n = \frac{c}{V})$,so $\frac{n_{P}}{n_{Q}} = \frac{V_{Q}}{V_{P}}$.Equating the two expressions:$\frac{V_{Q}}{V_{P}} = \frac{1}{\sin 	heta}$Therefore,the speed of light in medium $Q$ is $V_{Q} = \frac{V_{P}}{\sin 	heta}$.

The critical angle is $\theta$ for light going from medium $P$ to medium $Q$. If the speed of light in medium $P$ is $V_{P}$,then the speed of light in medium $Q$ is:

Similar Questions

When a ray is refracted from one medium to another,the wavelength changes from $6000 \, \mathring A$ to $4000 \, \mathring A$. The critical angle for the interface will be

$A$ small coin is resting on the bottom of a beaker filled with liquid. $A$ ray of light from the coin travels up to the surface of the liquid and moves along its surface. How fast is the light travelling in the liquid?

$A$ fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is $\frac{4}{3}$ and the fish is $12 \, cm$ below the surface,the radius of this circle in $cm$ is

$A$ glass prism of refractive index $1.5$ is immersed in water (refractive index $4/3$). $A$ light beam incident normally on the face $AB$ is totally reflected to reach the face $BC$ if

$A$ ray of light from a denser medium strikes a rarer medium. The angle of reflection is $r$ and that of refraction is $r'$. The reflected and refracted rays make an angle of $90^{\circ}$ with each other. The critical angle will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module