The refractive index of medium $A$ is 1.5 and that of medium $B$ is 1.33 . If the speed of light in

Question

The refractive index of medium $A$ is 1.5 and that of medium $B$ is 1.33 . If the speed of light in air is $3 	imes 10^{8} \mathrm{~m} / \mathrm{s}$, what is the speed of light in medium $A$ and $B$ respectively?\

Professor PC Thomas Classes · Answer

(d):Given, refractive index of medium $A, \mu_{A}=1.5$ Refractive index of medium $B, \mu_{B}=1.33$\ Speed of light in air, $c=3 	imes 10^{8} \mathrm{~m} / \mathrm{s}$\ From, $\mu=\frac{	ext { Speed of light in vacuum }}{	ext { Speed of light in medium }}=\frac{c}{v}$\ For medium $A, \mu_{A}=\frac{c}{v_{A}} \Rightarrow 1.5=\frac{3 	imes 10^{8}}{v_{A}} \mathrm{~m} / \mathrm{s}$\ $v_{A}=2 	imes 10^{8} \mathrm{~m} / \mathrm{s}$\ For medium $B, \mu_{B}=\frac{c}{v_{B}} \Rightarrow 1.33=\frac{3 	imes 10^{8}}{v_{B}} \mathrm{~m} / \mathrm{s}$\ $v_{B}=2.25 	imes 10^{8} \mathrm{~m} / \mathrm{s}$\ Hence, speed of light in medium $A$ is $2 	imes 10^{8} \mathrm{~m} / \mathrm{s}$ and in medium $B$ is $2.25 	imes 10^{8} \mathrm{~m} / \mathrm{s}$.\