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

Answer:

$f = \frac{299790000 \frac{m}{s}}{3.03 m}= 9890594.06 Hz$

And if we convert to megahertz we got:

$9890594.06 Hz *\frac{1MHz}{10^6 Hz}= 98.9 MHz$

Step-by-step 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:

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

And replacing the values we got:

$f = \frac{299790000 \frac{m}{s}}{3.03 m}= 9890594.06 Hz$

And if we convert to megahertz we got:

$9890594.06 Hz *\frac{1MHz}{10^6 Hz}= 98.9 MHz$