Chapter 6, Problem 94A

Interpretation Introduction

Interpretation:

The relation between the energy of quantum emitted radiation and the frequency of the radiation needs to be explained.

Concept introduction:

An oscillator absorbs or emits radiation discontinuously, in the form of energy packets called quanta. Quanta may be considered as behaving like a stream of particles, possessing mass, energy and momentum.

Answer to Problem 94A

Energy of quantum is directly proportional to the frequency of radiation. It can be described as the following relation:

$\text{E}\text{=}\text{hν}$

Explanation of Solution

Energy of quantum is directly proportional to the frequency of radiation. It can be described as the following relation:

$\begin{array}{l}\text{E}\infty \text{ν}\\ \text{E}\text{=}\text{hν}\end{array}$

Here $\text{ν}$ is the frequency of radiation; h is Planck’s constant. In SI unit of this value is $\text{6}\text{.627}\times {\text{10}}^{-34}\text{Js}$.

Conclusion

Frequency of radiation is directly proportional to the quantum energy. The relation between frequency and energy is as follows:

$\text{E}\text{=}\text{hν}$