Chapter 38, Problem 4A

To determine

The Planck’s constant and its relation with frequency and energy of the quantum of the light.

Explanation of Solution

Introduction:

Planck’ constant is the ratio of the energy of the photon to frequency of the incident light. It is used to find the energy of a photon and uncertainty in the momentum and position of the particle by Heisenberg’s principle.

The expression to calculate the energy of the photon is given as,

  $E=h\nu$

Where,

• $E$ is the energy of the photon.
• $h$ is the Planck’s constant.
• $\nu$ is the frequency of the photon.

The numerical value of the Planck’s constant is $6.67\times {10}^{-34}{\text{m}}^2\cdot \text{kg}/\text{s}$ .

Conclusion:

The Planck’s constant is the ratio of the energy of photon and frequency of the photon and energy of the photon is proportional to frequency of the incident light.