# What is the wavelength of a radio signal broadcast at a frequency of 99.0 MHz?

Apr 15, 2016

$3. \overline{03} m$

#### Explanation:

Radio signals are electromagnetic waves and these travel with the speed of light $c = 3 \times {10}^{8} m {s}^{-} 1$.

The expression connecting speed, wavelength $\lambda$ and frequency $n$ of electromagnetic waves is
$c = n \times \lambda$

Inserting given and known numbers
$3 \times {10}^{8} = 99.0 \times {10}^{6} \times \lambda$, solving for wavelength
$\lambda = \frac{3 \times {10}^{8}}{99.0 \times {10}^{6}} = 3. \overline{03} m$