   Chapter 29, Problem 65PE

Chapter
Section
Textbook Problem

The velocity of a proton in an accelerator is known to an accuracy of 0.250% of the speed of light. (This could be small compared with its velocity.) What is the smallest possible uncertainty in its position?

To determine

The smallest possible uncertainty in the position of proton.

Explanation

Given info:

Uncertainty in velocity of proton is,Δv=0.25%ofc.

Formula used:

The Heisenberg's Uncertainty principle can be expressed mathematically as,

ΔxΔph4π

Calculation:

The uncertainty in momentum can be given as,

Δp=mΔv

The smallest uncertainty in the position of electron will be,

ΔxΔp=h4πΔxmΔv=h4πΔx=h4πmΔv

Substituting the given values in the above equation, we get

Δx=6.626×1034Js4×3

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Hypoglycemia as a disease is relatively common. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

4. The normal arterial range is

Cardiopulmonary Anatomy & Physiology

A sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m. If the sid...

Physics for Scientists and Engineers, Technology Update (No access codes included)

Is the seedling shown on the right a monocot or eudicot? How can you tell?

Biology: The Unity and Diversity of Life (MindTap Course List) 