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Answer :
Final answer:
The wavelength at which the FM radio station is broadcasting is approximately 3.06 meters.
Explanation:
The wavelength of a particular color of red light is 697 nm. To calculate the wavelength at which the FM radio station is broadcasting, we can use the formula:
c = fλ
where c is the speed of light (3.00 × 10^8 m/s) and f is the frequency. Rearranging the formula to solve for wavelength, we get:
λ = c / f
Converting the frequency of the radio station from MHz to Hz:
f = 98.1 × 10^6 Hz
Substituting the values into the formula:
λ = (3.00 × 10^8 m/s) / (98.1 × 10^6 Hz)
λ ≈ 3.06 m
Therefore, the FM radio station is broadcasting at a wavelength of approximately 3.06 meters.
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