PROBLEM 5Q

What is the relationship between the wavelength of light and the amount of energy carried by its photons? How are wavelength and frequency of light related?

Solution 5Q

Here, we are going to give the relationship between wavelength of light and the amount of energy carried by its photons. Also, we are going to relate wavelength and frequency of light.

Step 1:

The distance between two adjacent crests or troughs is called wavelength. It is denoted by the greek letter lambda(𝜆). On the other hand, the number of waves which pass through a given point in one second is known as the frequency. It is denoted by the greek letter nu(𝞶).

Step 2:

According to Planck’s quantum theory of radiation, the amount of energy associated with a quantum(in case of light, the quantum of energy is often called photon) of radiation is inversely proportional to the wavelength of light,

E = hc/𝜆

where h is a universal constant called Planck’s constant, 𝜆 is the wavelength of light, c is the velocity and E is the energy of a photon.