Chapter 27, Problem 13Q

To determine

Explain how does an electron exhibit particle and wave nature

Answer to Problem 13Q

Solution:

Explanation of Solution

According to DeBroglie matter in general exist dual behavior which can be observed only at microscopic level for the particles like electrons.

DeBroglie assumed that

$\begin{array}{l}\lambda =\frac{2\pi r}{n}=\frac{h}{mv}\\ mvr=\frac{nh}{2\pi }\end{array}$

Also according to Bhor electron as a particle

$mvr=\frac{nh}{2\pi }$

Hence according to DeBroglie (wave nature of electron)and Bhor (quantization of angular momentum)are in agreement with each other.

Hence an electron can exists in particle and wave nature