College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000



College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

Derive the approximate form of Heisenberg's uncertainty principle for energy and time, Δ E Δ t h , using the following arguments: Since the position of a particle is uncertain by Δ x λ , where λ is the wavelength of the photon used to examine it, there is an uncertainty in the time the photon takes to traverse Δ x . Furthermore, the photon has an energy related to its wavelength, and it can transfer some or all of this energy to the object being examined. Thus the uncertainty in the energy of the object is also related to λ . Find Δ t and Δ E ; then multiply them to give the approximate uncertainty principle.

To determine

To derive:

The approximate from for Heisenberg uncertainty Principle for Energy and Time.


Given info:

Position of any particle or electron is given by uncertainty ofΔxλ whereλ is the wavelength of the wave associated with it. There is some uncertainty associated with time as well in which the particle travels distanceΔx . There is some energy associated with the wavelength of the particle which means the uncertainty of energy is related to the wavelength.

Formula used:


Here, p = momentum of the particle

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

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Translate the .sequence of bases in the previous question, starting at the second base.

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

Divide into two groups. One group will argue in favor of the use of ergogenic aids by athletes, and one group w...

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

How can you be sure that giant stars really are Larger than main- sequence stars?

Horizons: Exploring the Universe (MindTap Course List)

In what way has biotechnology had an impact on agriculture in the United States?

Human Heredity: Principles and Issues (MindTap Course List)

Why are enzyme assays of blood serum useful in a clinical diagnosis?

Chemistry for Today: General, Organic, and Biochemistry

(a) Does the center of mass of a rocket in free space accelerate? Explain. (b) Can the speed of a rocket exceed...

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