## Related questions with answers

Calculate the wave length for several examples of sinusoidal electromagnetic radiation: radio, $1000 \mathrm{kHz}, \lambda=?$ television, $100 \mathrm{MHz}, \lambda=?$ red light, $4.3 \times 10^{14} \mathrm{Hz}, \lambda=?$ blue light, $7.5 \times 10^{14} \mathrm{Hz}, \lambda=?$ (Note for comparison that an atomic diameter is about $1 \times \left.10^{-10} \mathrm{m} .\right)$

Solution

VerifiedThe wavelength is determined by $\lambda = \frac{v}{\nu}$. So given the frequency of the $\textbf{radio}$ waves, $\nu = 1000$ kHz, and being the speed of the electromagnetic wave $v=3\cdot 10^8 m/s$ we have

$\begin{equation} \lambda = \frac{3\cdot 10^8 m/s}{1000 \cdot 10^3 \, Hz} = 300 \,m \end{equation}$

For $\textbf{television}$ we have $\nu = 100$ MHz, thus

$\begin{equation} \lambda = \frac{3\cdot 10^8 m/s}{100 \cdot 10^6 \, Hz} = 3 \,m \end{equation}$

For $\textbf{red light}$ the frequency is $\nu = 4.3 \cdot 10^{14} Hz$. So the wavelength is

$\begin{equation} \lambda = \frac{3 \cdot 10^8 \, m/s}{4.3 \cdot 10^{14} \, Hz} = 697.6 \cdot 10^{-9} \,m \end{equation}$

Finally, for the $\textbf{blue light}$ the frequency is $\nu = 7.5 \cdot 10^{14} \, Hz$, so the wave length is

$\begin{equation} \lambda = \frac{3 \cdot 10^8 \, m/s}{7.5\cdot 10^{14} \, Hz }= 400 \cdot 10^{-9} \, m \end{equation}$

## Create a free account to view solutions

## Create a free account to view solutions

## Recommended textbook solutions

#### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th Edition•ISBN: 9780133942651 (8 more)Randall D. Knight#### Mathematical Methods in the Physical Sciences

3rd Edition•ISBN: 9780471198260 (1 more)Mary L. Boas#### Fundamentals of Physics

10th Edition•ISBN: 9781118230718 (3 more)David Halliday, Jearl Walker, Robert Resnick#### Matter and Interactions

4th Edition•ISBN: 9781118875865 (2 more)Bruce A. Sherwood, Ruth W. Chabay## More related questions

- anatomy and physiology
- integrated math
- anatomy and physiology
- anatomy and physiology

1/4

- anatomy and physiology
- integrated math
- anatomy and physiology
- anatomy and physiology

1/7