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The refractive index of a medium $Y$ with respect to medium $X$ is $1.6$ and the absolute refractive index of $X$ is $1.5$ . Find out the speed of light in the medium $Y$ . The speed of light in vacuum is $3\times 10^{8}\; ms^{-1}$ .

Answers (1)

Medium X Medium Y

$Speed =V_{X}$ $Speed =V_{Y}$

Absolute ref. Index $=\mu _{X}=1.5$ Absolute Ref.Index $=\mu _{Y}$

R.I of a medium $Y$ with respect to medium $X$ $(\mu _{YX})=1.6$

$(\mu _{YX})=\frac{V_{X}}{V_{Y}}$ OR $(\mu _{YX})=\frac{\mu _{Y}}{\mu _{X}}$

$1.6=\frac{\mu _{y}}{1.5}$

$\mu _{y}=1.6\times 1.5$

$\frac{C}{V_{y}}=1.6\times 1.5$

$V_{y}=\frac{C}{1.6\times 1.5}=\frac{3\times 10^{8}}{1.6\times 1.5}$

$V_{y}=1.25\times 10^{8}\; m/s$

Posted by

Sumit Saini

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