Chapter 16, Problem 1P

To determine

The frequency of the light.

Answer to Problem 1P

  $5.50\times {10}^{14}\text{Hz}$

Explanation of Solution

Given:

The speed of the light, $c=3\times {10}^8\text{m/s}$

The wavelength of the given light, $\lambda =5.45\times {10}^{-7}\text{m}$

Formula used:

The relation between wavelength $\left(\lambda \right)$ and the frequency $\left(f\right)$ as,

  $f=\frac{c}{\lambda }$

Where c is the speed of light.

Calculation:

Using given values in above equation, we get,

  $\begin{array}{l}f=\frac{3\times {10}^8}{5.45\times {10}^{-7}}\\ f=5.50\times {10}^{14}\text{Hz}\end{array}$

Conclusion:

The frequency of the light is $5.50\times {10}^{14}\text{Hz}$ .