What is the wavelength of electromagnetic radiation with a frequency of 5.00 x 10^12 Hz? S radio
infrared
ultraviolet
gamma rays

Infrared

Explanation:

To calculate the wavelength if the electromagnetic radiation, we must use the following formula:

c = f × λ

where c is the speed of the wave (in this case it's the speed of light, which is 3 × m/s) , f is the frequency and λ is the wavelength.

Using this formula, all we have to do is plug in our values and rearrange for the

c = f × λ

3 × = 5.00 x Hz × λ

λ = 3 × /5.00 x

λ = 6.00 × m = 6.00 × nm

Now that we know the wavelength we can figure out which kind of electromagnetic radiation this is.

6.00 × nm falls in the range of infrared radiation. We know this either from memorizing the values of the wavelengths or looking up a reference.