Question

The wavelength of a radio signal is inversely proportional to its frequency. When frequency is 100, the wavelength is 750. Find the frequency if the wavelength is 2250.

Answer 1

The wavelength is inversly proportional to frequency. So equation is,

$\begin{gathered} \lambda\propto\frac{1}{\nu} \\ \lambda=\frac{k}{\nu} \end{gathered}$

Determine the value of constant k.

$\begin{gathered} 750=\frac{k}{100} \\ k=75000 \end{gathered}$

Determine the frequency for wavelength of 2250.

$\begin{gathered} 2250=\frac{75000}{\nu} \\ v=\frac{75000}{2250} \\ =33.333 \\ \approx33.3 \end{gathered}$