Question

Calculate the broadcast wavelength of the radio station 99.90 fm. seconds

Answer 1

The radio waves are electromagnetic wave, so it travels with velocity of light i.e $3\times 10^{8} \ m/s$.

We can use the relation between frequency, wavelength and speed as

$\lambda =\frac{c}{f}$

Here c is speed of light, $\lambda$ is wavelength and f is frequency and its value is given 99.90 FM, it is actually in megahertz  (i.e 99.90 MHz).

Therefore,

$\lambda =\frac{3 \times 10^{8}\ m/s }{99.90 \times 10^{6} \ Hz} = 3.003 \ m$.

Thus, the broadcast wavelength of the given radio station is 3.003 m.