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

For total internal reflection to take place,the angle of incidence $i$ and the refractive index $\mu$ of the medium must satisfy the inequality

The phenomenon of reflection of radio waves by the ionosphere is similar to:

The velocity of light in a medium is half its velocity in air. If a ray of light emerges from such a medium into air,the angle of incidence,at which it will be totally internally reflected,is ......... $^o$

What is total internal reflection?

The speed of light in media $M_1$ and $M_2$ are $1.5 \times 10^8 \ m/s$ and $2.0 \times 10^8 \ m/s$ respectively. $A$ ray of light enters from medium $M_1$ to $M_2$ at an incidence angle $i$. If the ray suffers total internal reflection,the value of $i$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module