Question

Light travels through a material at a speed of 1.33x10^8 m/s. What is the index of refraction for the material?

Answer 1

Given:

The speed of light in a material, v=1.33×10⁸ m/s

To find:

The index of refraction of the material.

Step-by-step explanation:

The speed of light in the vacuum is c=3×10⁸ m/s

The index of refraction of a material is given by the ratio of the speed of light in the vacuum to that in the material.

Thus the index of refraction of the given material is calculated using the equation,

`n=(c)/(v)`

On substituting the known values in the above equation,

`\begin{gathered} n=(3*10^8)/(1.33*10^8) \\ =2.26 \end{gathered}`

Final answer:

Thus the index of refraction of the given material is 2.26