Question

Calculate the index of refraction for a medium in which the speed of light is 1.239 ✕ 108 m/s. (The speed of light in vacuum is 2.998 ✕ 108 m/s. Enter your answer to at least three decimal places.)

Answer 1

Answer:

Refractive index, n = 2.419

Explanation:

It is given that,

Speed of light in the medium, $v=1.239\times 10^8\ m/s$

Speed of light in the vacuum, $c=2.998\times 10^8\ m/s$

Let n is the index of refraction for a medium. We know that the refractive index for any medium is equal to the ratio of speed of light in vacuum to the speed of light in medium. It can be written as :

$n=\dfrac{c}{v}$

$n=\dfrac{2.998\times 10^8\ m/s}{1.239\times 10^8\ m/s}$

n = 2.419

So, the index of refraction for a medium is 2.419. Hence, this is the required solution.