General Chemistry
General Chemistry
4th Edition
ISBN: 9781891389603
Author: Donald A. McQuarrie, Peter A. Rock, Ethan B. Gallogly
Publisher: University Science Books
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Chapter 5, Problem 5.3P
Interpretation Introduction

Interpretation:

Uncertainty in velocity of electron and the fraction of speed for the uncertainty has to be calculated.

Concept Introduction:

Heisenberg uncertainty principle states that it impossible to measure the exact position and the momentum of a particle at the same time.  This can be expressed mathematically as shown below.

    (Δx)(Δp)h4π

Where,

    h is the Planck’s constant.

    Δx is the uncertainty associated with position.

    Δp is the uncertainty associated with momentum.

It is known that the product of mass and velocity is the momentum of the particle.  This can be expressed as shown below.

    Δp=mΔv

Therefore, Heisenberg’s uncertainty principle can also be expressed as shown below.

    (Δx)(mΔv)h4π

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