Chapter 6.6, Problem 1PPA

Interpretation Introduction

Interpretation:

The minimum uncertainty in the position with given mass and velocity is to be determined.

Concept introduction:

The minimum uncertainty in the position is calculated by using the relation given below:

$\Delta x=\frac{\text{h}}{4\pi m\Delta u}$

Here, h isPlanck’s constant, $m$ is the mass, $\Delta x$ is the minimum uncertainty in position, and $\Delta u$ is the minimum uncertainty in velocity.

The minimum uncertainty in velocity is calculated by using the following relation:

$\Delta u=\text{Velocity}\times \text{Uncertainty of velcoity}$

The relationship between gram and gram can be expressed as $1\text{ kg = 1000g}$.

To convertgramto gram, the conversion factor is $\frac{1\text{ kg}}{1000\text{g}}$.