To calculate the wavelength of an electromagnetic wave, you can use the formula:
wavelength = speed of light / frequency
The speed of light in a vacuum is approximately 299,792,458 meters per second.
Let's calculate the wavelength in meters first:
wavelength (in meters) = speed of light / frequency wavelength (in meters) = 299,792,458 m/s / 1×10^7 Hz
wavelength (in meters) = 29.9792458 meters
Now, to convert this to nanometers (nm), we need to multiply by 10^9 since there are 1 billion nanometers in a meter:
wavelength (in nanometers) = wavelength (in meters) × 10^9 wavelength (in nanometers) = 29.9792458 m × 10^9
wavelength (in nanometers) = 29,979,245,800 nm
Therefore, the wavelength of the electromagnetic wave with a frequency of 1×10^7 Hz is approximately 29.9792458 meters or 29,979,245,800 nanometers.
As for the type of electromagnetic wave, we can use the electromagnetic spectrum to determine that. With a frequency of 1×10^7 Hz, this wave falls within the radio frequency (RF) range of the electromagnetic spectrum.