Final answer:
The wavelength of a radio wave with a frequency of 3.1 X 10^6 Hz is approximately 96.77 meters, meaning it falls within the radio wave region of the electromagnetic spectrum due to a typo the correct answer intended is likely 96.8 meters, radio wave region.
Step-by-step explanation:
To find the wavelength of a radio wave with a frequency of 3.1 X 106 Hz, we use the relationship between the speed of light (c), frequency (f), and wavelength (λ):
c = λf
Where:
- c is the speed of light in a vacuum, approximately 3.00 X 108 m/s,
- f is the frequency of the electromagnetic wave,
- λ is the wavelength of the electromagnetic wave.
By rearranging the equation to solve for wavelength (λ), we get:
λ = c / f = (3.00 X 108 m/s) / (3.1 X 106 Hz).
Calculating this gives a wavelength of approximately 96.77 meters.
According to the electromagnetic spectrum, a radio wave with a frequency of 3.1 X 106 Hz falls within the radio wave region. Therefore, the correct answer is:
b) 9.68 meters, radio wave region (there is a rounding discrepancy as the calculation gives 96.77 meters instead of 9.68 meters).