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.

Question

asked Feb 20, 2023 31.0k views

1 Answer

Lincolnadym · Answer 1 · 2023-02-27T02:14:27+0000

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.

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