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(1)/(\\u) \\ \lambda=(k)/(\\u) \end{gathered}`

Determine the value of constant k.

`\begin{gathered} 750=(k)/(100) \\ k=75000 \end{gathered}`

Determine the frequency for wavelength of 2250.

`\begin{gathered} 2250=(75000)/(\\u) \\ v=(75000)/(2250) \\ =33.333 \\ \approx33.3 \end{gathered}`