Question

A certain radio station broadcasts on a frequency of 101.7mhz. calculate the wavelength of the radio wave.

Answer 1

The relationship between frequency and wavelength for an electromagnetic wave is

`c=f \lambda`
where f is the frequency,
`\lambda` the wavelength and
`c=3 \cdot 10^8 m/s` is the speed of light.

In our problem, the frequency of the wave is
`f=101.7 MHz = 101.7 \cdot 10^6 Hz = 1.017 \cdot 10^8 Hz`, so the wavelength of the wave is

`\lambda = (c)/(f)= (3 \cdot 10^8 m/s)/(1.017 \cdot 10^8 Hz)=2.95 m`