Question

The speed of light in a transparent medium is $1.8\times {10}^{3}m/s$.Find the refractive index of that medium.

Answer 1

The refractive index is given by

$n=c/v$

Where n is the refractive index

$c$ is the speed of light in vacuum

$v$ is the speed of light in that medium

It is given that speed of light in a medium$\left(v\right)is1.8\ast 1000=1.8\ast {10}^{3}m/s$

Speed of light in vacuum$=3\ast {10}^{3}m/sec$

$n=3\ast {10}^3/1.8\ast {10}^3$

$n=3/1.8$

$=1.6666$

$=1.67$