Chapter 7, Problem 7B.1E

Interpretation Introduction

Interpretation:

The uncertainty of proton location has to be identified for proton with speed $\text{350}\text{km}{\text{s}}^{\text{-1}}$ and uncertainty of momentum $0.0100$ percent.

Concept Introduction:

Heisenberg uncertainty principle: It states that it is not possible to identify both the particle’s momentum and position at same time with certainty. The general mathematical equation for this is given as follows,

$\text{Δx}\text{Δp}\ge \frac{1}{2}\hslash \boxed{\begin{array}{c}here,\text{Δx}=\text{minimum certain in position}\\ \text{Δp}=\text{minimum certain in}\text{momentum}\\ \text{h}\text{=}\text{Planck's constant}\hslash =\raisebox{1ex}{$\text{h}$}\!\left/ \!\raisebox{-1ex}{$\text{2π}$}\right.\end{array}}$