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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.

Respuesta :

Answer:

[tex] f = \frac{299790000 \frac{m}{s}}{3.03 m}= 9890594.06 Hz[/tex]

And if we convert to megahertz we got:

[tex]9890594.06 Hz *\frac{1MHz}{10^6 Hz}= 98.9 MHz[/tex]

Step-by-step explanation:

For any mechanical wave we have the following general relationship:

[tex] v = \lambda f[/tex]

where:

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

[tex]\lambda = 3.03m[/tex] represent the wavelength for the radio station

f represent the frequency of interest

If we solve for the frequency we got:

[tex] f = \frac{v}{\lambda}[/tex]

And replacing the values we got:

[tex] f = \frac{299790000 \frac{m}{s}}{3.03 m}= 9890594.06 Hz[/tex]

And if we convert to megahertz we got:

[tex]9890594.06 Hz *\frac{1MHz}{10^6 Hz}= 98.9 MHz[/tex]

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