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

Frequency, f = 24 MHz

Step-by-step 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* \lambda`

`f=(c)/(\lambda)`

`f=(3* 10^8\ m/s)/(12.5\ m)`

`f=24* 10^6\ Hz`

or

f = 24 MHz

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