Chapter 26, Problem 48A

To determine

To Find: The frequency of the laser light source having wavelength $\text{650 nm}$ .

Answer to Problem 48A

The required frequency of the light source is $\boxed{\nu =4.61\times {10}^{14}\text{Hz}}$ .

Explanation of Solution

Given:

The wavelength of the light source is $\lambda =650\text{nm}$ .

Formula:

The relationship between wavelength and frequency is

  $\lambda =\frac{c}{\nu }$  ...... (1)

Here $\lambda$ is wavelength of light source, $c$ is speed of light given by $300000\text{km/s}$ and $\nu$ is the frequency.

Calculation:

Substitute $65\text{0}\text{nm}$ for $\lambda$ in equation (1)

  $\begin{array}{c}\nu =\frac{c}{\lambda }\\ =\frac{{\text{3×10}}^{\text{8}}\text{m/s}}{650\times {10}^{-9}\text{m}}\\ \boxed{\nu =4.61\times {10}^{14}\text{Hz}}\end{array}$

Conclusion:

Hence, the required frequency of the light source is $\boxed{\nu =4.61\times {10}^{14}\text{Hz}}$ .