Question

If the speed of light in vaccum is 3X10​8 m/s, find the absolute refractive index of a medium in which light travels with a speed of 1.4X108 m/s.
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Answer 1

Refractive index of a medium = speed of light in vacuum/speed of light in the medium = 3 x 108/(1.4 x 108) = 2.14

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Answer 2

The absolute refractive index of a medium is 2.14.

Explanation:

The speed of light in vaccum, $c=3\times 10^8\ m/s$

The speed of light in a medium, $v=1.4\times 10^8\ m/s$

Let n is the absolute refractive index of a medium. It is given by the ratio of speed of light in vaccum to the speed of light in a medium. So,

$n=\dfrac{c}{v}\\\\n=\dfrac{3\times 10^8}{1.4\times 10^8}\\\\n=2.14$

So, the absolute refractive index of a medium is 2.14.

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