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
$\lambda = \frac{c}{f}$
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:
$\lambda _1 = \frac{c}{f_1}=3.41 m$
$\lambda _2 = \frac{c}{f_2}=2.78 m$
So, the electromagnetic waves that carry fm radio are in the range of wavelength [2.78-3.41] m.