Chapter 6.5, Problem 2CP

Interpretation Introduction

Interpretation:

The minimum uncertainty in the position of a proton is to be calculated.

Concept introduction:

The principle that helps to locate any subatomic particle which behaves as a wave is called Heisenberg’s uncertainty principle.(It is impossible to measure the exact position and momentum of a microscopic particle simultaneously with absolute accuracy)

The equation of Heisenberg’s uncertainty principle is as follows:

$\Delta x.\Delta p\ge \frac{h}{4\pi }$

Here, $\Delta x$ is the minimum uncertainty in position, $h$ is Planck’s constant, and $\Delta p$ is the minimum uncertainty of momentum.