Answer:
0.1 meters
Step-by-step explanation:
For an electromagnetic wave, the relationship between wavelength λ, frequency ν, and the speed of light c is given by:
[tex]c=\lambda \nu[/tex]
where [tex]c=3*10^8m/s.[/tex]
In our case of the radio waves [tex]\nu=3*10^8[/tex]
therefore the wavelength λ is:
[tex]\lambda=\frac{c}{\nu} =\frac{3*10^8}{3*10^9} =0.1m.[/tex]
Therefore the wavelength of the radio waves is 0.1 meters.
The wavelength for radio waves with frequency of 3 × 10^(9) Hz is; λ = 0.1 m
We are given;
Frequency of radio waves; f = 3 × 10^(9) Hz
Now, formula for wavelength is;
λ = c/f
Where c is speed of light = 3 × 10^(8) m/s
Thus, Plugging in the relevant values into the wavelength equation gives;
λ = (3 × 10^(8))/(3 × 10^(9))
λ = 0.1 m
Thus, the wavelength for radio waves with frequency of 3 × 10^(9) Hz is 0.1 m.
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