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$\cdot$ How fast would an electron have to move so that its de Broglie wavelength would be 1.00 $\mathrm{mm}$ ?

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0.7274 $\mathrm{m} / \mathrm{s}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 28

Photons, Electrons, and Atoms

Electromagnetic Waves

Atomic Physics

Cornell University

Hope College

University of Sheffield

Lectures

02:42

Atomic physics is the field of physics that studies atoms as an isolated system of electrons and an atomic nucleus. It is primarily concerned with the arrangement of electrons around the nucleus and the processes by which these arrangements change. The theory of quantum mechanics, a set of mathematical rules that describe the behaviour of matter and its interactions, provides a good model for the description of atomic structure and properties.

03:50

In atomic physics, the Rutherford-Bohr model or Bohr model or Bohr model of the atom was first proposed by Niels Bohr in 1913. It was the first quantum theory of the atomic structure, applying the principles of quantum mechanics to the hydrogen atom. The Rutherford-Bohr model is a planetary model in which the electron is assumed to revolve around the nucleus in circular orbits. The Rutherford-Bohr model of the atom was based on Max Planck's quantum theory of radiation, which explained the spectrum of blackbody radiation, and Albert Einstein's theory of the photoelectric effect, which explained the origin of the spectrum of line emission from atoms. The Bohr model of the atom was the first to explain the discrete spectrum of hydrogen and how the spectral lines of the hydrogen atom were split into multiple spectral lines in a phenomenon called the fine structure. It introduced the Bohr radius and the concept of quantum levels to explain the discrete nature of the spectrum of the hydrogen atom. The Bohr model of the atom had a significant influence on the development of quantum mechanics, and was instrumental in the development and validation of quantum mechanics.

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Okay, so this question is about to Brookly wavelengths, and we want to know how fast it would have to move if wanted a habit of broiling a wavelength of 11 millimeter. So Lamda is equal to h o ver. P p is equal to m V, and so v is equal to age over lambda, uh, times Mass. And then that mass of the electron says 9.11 10 of the minus 31. So I'm gonna go ahead and plug in this into my calculator. Oh, and then, yeah, one millimeter. So go ahead and write that down. Lambda is equal to one times 10 to the minus three and great. I won't do that. So you should drive lambda, um, so copy and paste my age 6 10 to 600 minus 34 and then multiply by. Excuse me. Defined by Lamba one times 10 to the minus three and then mass like 1100 minus 31. And I got 0.7 to 7 0.7 to 7, uh, meters per second

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