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Answer :
Final answer:
The wavelength of an FM radio station's broadcast signal at a frequency of 98.5 MHz is approximately 3.05 meters. This is found by dividing the speed of light by the given frequency.
Explanation:
To calculate the wavelength of an FM radio station's broadcast signal, we can use the relationship between the speed of light (c), frequency (f), and wavelength (λ). The speed of light is approximately 3.00 × 108 meters per second (m/s). The equation that relates these quantities is:
c = λ × f
Given that the frequency of the broadcast is 98.5 MHz, which is the same as 98.5 × 106 Hz, we can rearrange the equation to solve for wavelength (λ):
λ = c / f
Substituting the values, we have:
λ = (3.00 × 108 m/s) / (98.5 × 106 Hz)
After performing the calculation, the wavelength of the FM station's broadcast signal at 98.5 MHz is approximately 3.05 meters.
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