Chapter 5.3, Problem 21LC

Interpretation Introduction

Interpretation: The relation between the change in electron energy and the frequency of light emitted in the electronic transitions needs to be explained.

Concept Introduction: In an atom, the energy of an electron decreases when it changes its levels, and photons are emitted by an atom. The emission of a photon takes place when electrons move from higher to lower energy levels.

Answer to Problem 21LC

Change in electron energy is directly proportional to the frequency of light.

Explanation of Solution

The relation between the change in electron energy and the frequency of light emitted in the electronic transitions is as follows:

  $E=hv$

Here, h is Planck’s constant.

The above equation can be represented as follows:

  $E\propto v$

Thus, electron energy is directly proportional to the frequency of light emitted.

Conclusion

Thus, the change in electron energy is directly proportional to the frequency of light.