Question

A radio station broadcasts (transmits radio waves) at a wavelength of 12.5 m. What frequency, in MHz, of radio waves corresponds to this wavelength? Please round your answer to one decimal place.

Answer 1

Answer:

Frequency, f = 24 MHz

Explanation:

It is given that,

Wavelength of radio station, $\lambda=12.5\ m$

We need to find the frequency of radio waves corresponds to this wavelength. We know that the relation between the frequency and the wavelength is given by :

$c=f\times \lambda$

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

$f=\dfrac{3\times 10^8\ m/s}{12.5\ m}$

$f=24\times 10^6\ Hz$

or

f = 24 MHz

So, the frequency of the radio waves is 24 MHz. Hence, this is the required solution.