Consider light travelling from a medium A to | vedclass

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

Question

(C) For total internal reflection to occur,light must travel from a denser medium to a rarer medium. Here,the speed of light in medium $A$ $(v_A = 2.4

Vedclass · Accepted Answer

$	an^{-1}(\frac{8}{\sqrt{17}})$

Vedclass · Answer

(C) For total internal reflection to occur,light must travel from a denser medium to a rarer medium. Here,the speed of light in medium $A$ $(v_A = 2.4 	imes 10^8 \ m/s)$ is less than in medium $B$ $(v_B = 2.7 	imes 10^8 \ m/s)$,so medium $A$ is denser.At the critical angle $c$,the angle of refraction is $90^\circ$. According to Snell's Law:$\mu_A \sin c = \mu_B \sin 90^\circ$Since $\mu = \frac{c_{light}}{v}$,we have $\frac{c_{light}}{v_A} \sin c = \frac{c_{light}}{v_B} 	imes 1$$\sin c = \frac{v_A}{v_B} = \frac{2.4 	imes 10^8}{2.7 	imes 10^8} = \frac{24}{27} = \frac{8}{9}$Now,using the trigonometric identity $	an c = \frac{\sin c}{\sqrt{1 - \sin^2 c}}$:$	an c = \frac{8/9}{\sqrt{1 - (8/9)^2}} = \frac{8/9}{\sqrt{1 - 64/81}} = \frac{8/9}{\sqrt{17/81}} = \frac{8}{\sqrt{17}}$Therefore,$c = 	an^{-1}(\frac{8}{\sqrt{17}})$.

Similar Questions

With respect to air,the critical angle in a medium for red light of wavelength $\lambda_1$ is $\theta$. Other facts remaining same,the critical angle for yellow light of wavelength $\lambda_2$ will be

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 ......... $^o$

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:

$A$ beam of light is incident from air on the surface of a liquid. The angle of incidence is $\theta$ and the angle of refraction is $\alpha$. If the critical angle for the liquid when surrounded by air is $\theta_c$,then $\sin \theta_c$ is:

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:

Vedclass Test Series

Exam Paper Generator

Online Exam Module