The velocity of light in glass having a refra | vedclass

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(C) The refractive index $\mu$ of a medium is inversely proportional to the velocity of light $v$ in that medium,given by $\mu = \frac{c}{v}$,where $c

Vedclass · Accepted Answer

$1.2$

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(C) The refractive index $\mu$ of a medium is inversely proportional to the velocity of light $v$ in that medium,given by $\mu = \frac{c}{v}$,where $c$ is the speed of light in vacuum.Therefore,$\mu \propto \frac{1}{v}$,which implies $\mu_1 v_1 = \mu_2 v_2$.Given:Refractive index of glass $\mu_g = 1.5$Velocity of light in glass $v_g = 2 	imes 10^8 \ m/s$Velocity of light in liquid $v_l = 2.5 	imes 10^8 \ m/s$Using the relation $\mu_l v_l = \mu_g v_g$:$\mu_l = \frac{\mu_g v_g}{v_l}$Substituting the values:$\mu_l = \frac{1.5 	imes 2 	imes 10^8}{2.5 	imes 10^8}$$\mu_l = \frac{3.0}{2.5} = 1.2$Thus,the refractive index of the liquid is $1.2$.

The velocity of light in glass having a refractive index of $1.5$ is $2 \times 10^8 \ m/s$. What is the refractive index of a liquid in which the velocity of light is $2.50 \times 10^8 \ m/s$?

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