Question

State the law of refraction of light.Write an expression to relate absolute refractive index of a medium wit speed of light in vacuum.
The refractive index of medium $x$ with respect to $y$ is $\frac{2}{3}$ and the refractive index of medium $y$ with respect to $z$ is $\frac{4}{3}$. Calculate the refractive index of medium $z$ with respect to $x$

Answer 1

Law of refractive states that the sine of angle of incidence and the sin of angle of refraction ratio is constant
$\mu =\frac{C}{V}$
$\frac{\mu x}{\mu y}=\frac{2}{3}$.....(i)
$\frac{\mu y}{\mu z}=\frac{4}{3}$.....(ii)
$\frac{\mu z}{\mu x}=?$
$\left(i\right)\times \left(ii\right)$
$\frac{\mu x}{\mu y}\times \frac{\mu y}{\mu z}=\frac{2}{3}\times \frac{4}{3}=\frac{8}{9}$
$\frac{\mu x}{\mu z}=\frac{8}{9}$
$\frac{\mu z}{\mu x}=\frac{9}{8}$