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Answer :
The wavelength at which the local FM radio station is broadcasting is approximately 3.08 meters.
The wavelength of a radio wave can be calculated using the formula:
Wavelength = Speed of Light / Frequency
In this case, the frequency of the radio station is given as 97.5 MHz.
To solve for the wavelength, we need to convert the frequency from megahertz (MHz) to hertz (Hz).
Since 1 MHz is equal to 1,000,000 Hz, we can multiply the given frequency by 1,000,000 to convert it to Hz.
97.5 MHz * 1,000,000 = 97,500,000 Hz
Now we have the frequency in Hz.
The speed of light is a constant value which is approximately 3.00 x 10^8 meters per second.
Plugging the values into the formula, we get:
Wavelength = (3.00 x 10^8 m/s) / (97,500,000 Hz)
Wavelength ≈ 3.08 meters
Therefore, the wavelength at which the radio station is broadcasting is approximately 3.08 meters.
The wavelength at which the local FM radio station is broadcasting is approximately 3.08 meters.
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