Answer :
Final answer:
The frequency of a radio wave with a wavelength of 46.5m is 6.45 x 10^6 Hz.
Explanation:
The frequency of a radio wave can be found using the wave equation which states that the speed of a wave (c) is equal to the wavelength (λ) times the frequency (f), expressed as c = λf. In the case of radio waves, the speed is the speed of light, which is approximately 3.00 x 10^8 m/s.
In order to find the frequency of a radio wave, we can use the formula:
Speed of light (c) = Wavelength (λ) x Frequency (f)
Rearranging the formula, we get:
Frequency (f) = Speed of light (c) / Wavelength (λ)
Given that the wavelength is 46.5m, we can substitute this value into the formula to find the frequency.
Frequency (f) = Speed of light (3 x 10^8 m/s) / Wavelength (46.5m)
Calculating the value, we get:
Frequency (f) = 6.45 x 10^6 Hz
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