Question

What is the wavelength of electromagnetic radiation with a frequency of 5.00 x 10^12 Hz? S

Answer 1

Answer:

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 × $10^{8}$ 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 answer:

c = f × λ

3 × $10^{8}$ = 5.00 x $10^{12}$ Hz × λ

λ = 3 × $10^{8}$/5.00 x $10^{12}$

λ = 6.00 × $10^{-5}$ m = 6.00 ×$10^{4}$ nm

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

6.00 ×$10^{4}$ nm falls in the range of infrared radiation. We know this either from memorizing the values of the wavelengths or looking up a reference.