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

If the critical angle for total internal reflection from a medium to vacuum is $30^{\circ}$,then the velocity of light in the medium is:

$A$ 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

$A$ light ray is incident from a medium of refractive index $2$ into a medium of refractive index $\sqrt{3}$. The critical angle is (in $^{\circ}$)

Rays from a point source of light situated at height $h$ below the liquid surface having refractive index $\mu$,form a circular patch of light of radius $r$ on the surface. The area of the patch is

Vedclass Test Series

Exam Paper Generator

Online Exam Module