Question

Radio waves travel at the speed of light:3 x 10^5 km/s.What is the wavelength of radio waves re-ceived at 97.3 MHz on your FM radio dial?Answer in units of m.

Answer 1

`\begin{gathered} v=3x10^5(km)/(s) \\ Speed\text{ in m/s} \\ 10^3\text{ m }\rightarrow1km \\ Hence \\ 3x10^5(km)/(s)((10^3m)/(km))=3x10^8m/s \\ f=97.3MHz=97.3x10^6Hz \\ v=\lambda f \\ Solving\text{ }\lambda \\ \lambda=(v)/(f) \\ \\ \lambda=(3x10^8m/s)/(97.3x10^6Hz) \\ \\ \lambda=3.03m \\ The\text{ wavelength is 3.08m} \end{gathered}`