Question

The electromagnetic waves that carry fm radio range in frequency from 87.9 mhz to 107.9 mhz. what is the range of wavelengths of these radio waves?

Answer 1

The lower frequency is

`f_1 = 87.9 MHz=87.9 \cdot 10^6 Hz`
the higher frequency is

`f_2 = 107.9 MHz = 107.9 \cdot 10^6 Hz`
The relationship between the frequency of an electromagnetic wave and its wavelength is given by

`\lambda = (c)/(f)`
where
`c=3 \cdot 10^8 m/s` is the speed of light. Using this formula, we can calculate the wavelengths corresponding to the upper and lower frequencies:

`\lambda _1 = (c)/(f_1)=3.41 m`

`\lambda _2 = (c)/(f_2)=2.78 m`
So, the electromagnetic waves that carry fm radio are in the range of wavelength [2.78-3.41] m.