Chapter 12, Problem 52R

To determine

To Find:Speed of light in water having refractive index $1.33$ .

Answer to Problem 52R

The speed of light in water is $225563.9\text{m/s}$ .

Explanation of Solution

Given:

Speed of light in vacuum $30000\text{0}\text{m/s}$ .

Refractive index of water $1.33$ .

Formula Used:

Relationship between speeds of light and refractive index is

  $\mu =\frac{c}{v}$  ...... (1)

Here, $\mu$ is the refractive index, $c$ is the speed of light in vacuum and $v$ is the speed of light in given medium.

Calculation:

Substitute $1.33$ for $\mu$ and $300\text{000 m/s}$ for $v$ in equation (1)

  $\begin{array}{l}\mu =\frac{c}{v}\\ v=\frac{c}{\mu }\\ v=\frac{300000}{1.33}\\ v=225563.9\text{m/s}\end{array}$

Conclusion:

Hence, the speed of light in water is $225563.9\text{m/s}$ .