Final answer:
The wavelength of electromagnetic radiation with a frequency of 5.00 x 10⁷ Hz is approximately 5.996 meters. It would be found in the radio wave region.
Step-by-step explanation:
To calculate the wavelength of electromagnetic radiation with a frequency of 5.00 x 10⁷ Hz, we can use the equation:
Wavelength (λ) = Speed of Light (c) / Frequency (f)
Given that the speed of light is approximately 2.998 x 10^8 m/s, and the frequency is 5.00 x 10⁷ Hz, we can substitute these values into the equation:
Wavelength (λ) = 2.998 x 10^8 m/s / 5.00 x 10⁷ Hz = 5.996 m
The wavelength of the radiation is approximately 5.996 meters.
Now, to determine the region of the spectrum in which this wavelength would be found, we can refer to the provided information. Visible light, which can be detected by the human eye, has wavelengths between approximately 7 x 10^-7 m and 4 x 10^-7 m. Since the calculated wavelength of 5.996 meters is much larger than these values, it would not be found within the visible light region. Instead, it would be found in the radio wave region, which typically has much longer wavelengths.