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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 a vacuum.For glass $(g)$ and liquid $(l)$:$\mu_g = \frac{c}{v_g}$ and $\mu_l = \frac{c}{v_l}$Taking the ratio:$\frac{\mu_l}{\mu_g} = \frac{v_g}{v_l}$Given:$\mu_g = 1.5$$v_g = 2 	imes 10^8 \ m/s$$v_l = 2.5 	imes 10^8 \ m/s$Substituting the values:$\frac{\mu_l}{1.5} = \frac{2 	imes 10^8}{2.5 	imes 10^8}$$\frac{\mu_l}{1.5} = \frac{2}{2.5} = 0.8$$\mu_l = 1.5 	imes 0.8 = 1.2$Thus,the refractive index of the liquid is $1.2$.

The velocity of light in glass,whose refractive index with respect to air is $1.5$,is $2 \times 10^8 \ m/s$. In a certain liquid,the velocity of light is found to be $2.5 \times 10^8 \ m/s$. The refractive index of the liquid with respect to air is:

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