Chapter 37, Problem 13SP

To determine

The refractive index of the glass if the speed of light in glass is $1.91\times {10}^8\text{ m/s}$ .

Answer to Problem 13SP

Solution:

$1.57$

Explanation of Solution

Given data:

The speed of light in glass is $1.91\times {10}^8\text{ m/s}$.

Formula used:

Write the formula for refractive index of a material:

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

Here, $n$ is the refractive index of the material, $c$ is the speed of light in vacuum, and $v$ is the velocity of light in the material.

Explanation:

The expression for refractive index ofa material is

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

Substitute $3\times {10}^8\text{ m/s}$ for $c$ and $1.91\times {10}^8\text{ m/s}$ for $v$

$\begin{array}{c}n=\frac{3\times {10}^8\text{ m/s}}{1.91\times {10}^8\text{ m/s}}\\ =1.57\end{array}$

Conclusion:

The refractive index of the glass is $1.57$.