Light travels from an optically denser medium | vedclass

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

Question

(A) The refractive index of a medium is inversely proportional to the speed of light in that medium,given by $\mu = \frac{c}{v}$.Given speeds are $v_{

Vedclass · Accepted Answer

$\sin ^{-1}\left(\frac{2}{3}\right)$

Vedclass · Answer

(A) The refractive index of a medium is inversely proportional to the speed of light in that medium,given by $\mu = \frac{c}{v}$.Given speeds are $v_{A} = 1.8 	imes 10^{8} \ m/s$ and $v_{B} = 2.7 	imes 10^{8} \ m/s$.The relative refractive index of medium $A$ with respect to medium $B$ is ${}_{B}\mu_{A} = \frac{\mu_{A}}{\mu_{B}} = \frac{v_{B}}{v_{A}}$.Substituting the values: ${}_{B}\mu_{A} = \frac{2.7 	imes 10^{8}}{1.8 	imes 10^{8}} = \frac{27}{18} = \frac{3}{2}$.The formula for the critical angle $C$ is $\sin C = \frac{1}{{}_{B}\mu_{A}}$.Therefore,$\sin C = \frac{1}{3/2} = \frac{2}{3}$.Thus,the critical angle is $C = \sin^{-1}\left(\frac{2}{3}ight)$.

Light travels from an optically denser medium $A$ into the optically rarer medium $B$ with speeds $1.8 \times 10^{8} \ m/s$ and $2.7 \times 10^{8} \ m/s$ respectively. The critical angle between them is ($\mu_{A}$ and $\mu_{B}$ are the refractive indices of media $A$ and $B$ respectively).

Similar Questions

On which principle does an optical fiber work?

$A$ ray of light incident on a glass sphere (refractive index $\sqrt{3}$) suffers total internal reflection before emerging out exactly parallel to the incident ray. The angle of incidence was (in $^{\circ}$)

$A$ ray is incident on a prism $ABC$ and travels as shown in the figure. The minimum refractive index of the material of the prism should be .......

$A$ ray of light enters from a rarer to a denser medium. The angle of incidence is $i$. Then the reflected and refracted rays are mutually perpendicular to each other. The critical angle for the pair of media is

What is total internal reflection?

Vedclass Test Series

Exam Paper Generator

Online Exam Module