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Answer :
The wavelength of the radio waves from an FM station broadcasting at 97.9 MHz after converting the frequency to hertz and substituting into the formula is approximately 3.07 meters.
The frequency of an FM radio station is given as 97.9 MHz. To find the wavelength of these radio waves, you need to use the formula for the speed of light. The speed of light (c) is equal to the product of the wavelength (λ) and frequency (f), expressed as c = λf.
First, you should convert this frequency to hertz since 1 MHz is equal to 1 million (10^6) Hertz. So, 97.9 MHz is equivalent to 97.9 * 10^6 Hz. Considering the speed of light as 3.0 * 10^8 m/s, you can solve the formula c = λf for the wavelength (λ).
Then, you get λ = c/f,
λ = (3.0 * 10^8 m/s) / (97.9 * 10^6 Hz)
=3.07 meters.
So, the wavelength of the radio waves from an FM station broadcasting at 97.9 MHz is about 3.07 meters.
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