Question

The speed of radio waves can be approximated to be 299,790,000 meters per second. The wavelength of a particular radio station’s signal is 3.03 meters. What is the frequency, in millions of Hertz (megahertz), of this radio station? Round your answer to the nearest tenth of a megahertz.

Answer 1

`f = (299790000 (m)/(s))/(3.03 m)= 9890594.06 Hz`

And if we convert to megahertz we got:

`9890594.06 Hz *(1MHz)/(10^6 Hz)= 98.9 MHz`

Explanation:

For any mechanical wave we have the following general relationship:

`v = \lambda f`

where:

v represent the speed of the wave = 299790000 m/s

`\lambda = 3.03m` represent the wavelength for the radio station

f represent the frequency of interest

If we solve for the frequency we got:

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

And replacing the values we got:

`f = (299790000 (m)/(s))/(3.03 m)= 9890594.06 Hz`

And if we convert to megahertz we got:

`9890594.06 Hz *(1MHz)/(10^6 Hz)= 98.9 MHz`