Question

Calculate the wavelength of the electromagentic waves with the given frequencies, and determine the type of electromagnetic radiation for each combination. frequency: 4.38×1014 Hz wavelength : m type frequency: 4.14×1020 Hz wavelength : m type frequency: 3.24×1012 Hz wavelength : m type

Answer 1

To develop this problem we require the concepts related to wavelength and its expression to calculate it.

The wavelength is given by

`\lambda =(c)/(f)`

Where,

`c=3*10^8 m/s` light velocity

f = frequency.

Our values are given by,

`f_1=4.38*10^(14)Hz`

`f_2= 4.14*10^(20)Hz`

`f_3 = 3.24*10^(12)Hz`

Then,

`\lambda_1=(3*10^8)/(4.38*10^(14))= 6.8493*10^(-7)m` Visible

`\lambda_2=(3*10^8)/(4.14*10^(20))= 7.24*10^(-13)m` Gamma Ray

`\lambda_3=(3*10^8)/(3.24*10^(12))= 9.259*10^(-5)m` Infrared

*Note the designation on the type of rays that are, can be found in consulted via On-line or in the optical books referring to the electromagnetic spectrum table with their respective ranges.