The speed of the radio wave with the given wavelength and frequency is 3 × 10⁷ ms⁻¹.
Given the data in the question;
- Wavelength; [tex]\lambda = 3000 m[/tex]
- Frequency; [tex]f = 100kHz = 100000Hz[/tex]
Speed; [tex]v =\ ?[/tex]
To determine the speed of the radio wave, we use the expression for the relations between wavelength, frequency and speed of wave.
[tex]\lambda = \frac{v}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and v is speed of wave.
We substitute our values into the equation and find "v"
[tex]300m = \frac{v}{100000Hz}\\\\300m = \frac{v}{100000s^{-s}}\\\\v = 300m * 100000s^{-s}\\\\v = 3 * 10^7 ms^{-1}[/tex]
Therefore, the speed of the radio wave with the given wavelength and frequency is 3 × 10⁷ ms⁻¹.
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