Answer:
Wavelength, [tex]\lambda=2.94\ m[/tex]
Explanation:
It is given that,
Speed of radio waves is [tex]v=3\times 10^8\ m/s[/tex]
Frequency of radio waves is f = 101,700,000 Hz
We need to find the wavelength of WFNX’s radio waves. The relation between wavelength, frequency and speed of a wave is given by :
[tex]v=f\lambda[/tex]
[tex]\lambda[/tex] is wavelength
[tex]\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{3\times 10^8}{101,700,000}\\\\\lambda=2.94\ m[/tex]
So, the wavelength of WFNX’s radio waves is 2.94 m.
The wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.
Given data in the question;
wavelength; [tex]\lambda =\ ?[/tex]
To determine the wavelength of the radio wave, we use the expression for the relations between wavelength, frequency and speed.
[tex]\lambda = \frac{c}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and c is the speed.
We substitute our given values into the equation
[tex]\lambda = \frac{3*10^8m/s}{1.017*10^8s^{-1}}\\\\\lambda = 2.95m[/tex]
Therefore, the wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.
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