PROBLEM 37P

List these three types of radiation—infrared, X-ray, and radio waves—in order of:

(a) increasing energy per photon

(b) increasing frequency

(c) increasing wavelength

Solution 37P

According to Einstein, the amount of energy ( E ) in a light is dependent on its

frequency ( n ) according to the following equation:

Where, h = Planck’s constant, ,

where

Therefore ,

The electromagnetic spectrum is given below

(a) increasing energy per photon

According to the equation,

The increasing order of energy per photon is as follows

Radio Waves < Infrared < X-ray

(b) increasing frequency

According to the equation,

The increasing order of frequency is as follows

Radio Waves < Infrared < X-ray

(c) increasing wavelength

According to the equation,

The increasing order of wavelength is as follows

X-ray < Infrared < Radio Waves