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$\bullet$ (a) An electron moves with a speed of $4.70 \times 10^{6} \mathrm{m} / \mathrm{s}$ . What is its de Broglie wavelength? (b) A proton moves with the same speed. Determine its de Broglie wavelength.

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A) 0.154 $\mathrm{nm}$B) 0.0844 $\mathrm{pm}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 28

Photons, Electrons, and Atoms

Electromagnetic Waves

Atomic Physics

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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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(a) An electron moves with…

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Find (a) the speed of an e…

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An electron moving with a …

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$\bullet$ (a) What is the …

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What is the de Broglie wav…

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Find the de Broglie wavele…

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Calculate the de Broglie w…

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a. What is the speed of an…

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a.What is the speed of an …

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the broke. The relation says that lam the the wavelength of a particle is equal to planes constant divided by its moment. Um, yeah, the mo mentum is M v and we're given that the velocity of our particles 4.7 times tend to the six meters per second. So in part A, we want to know. But the wavelength of an electron would be so we simply plug in Thanks. Concert plug in the mass of an electron multiplied by the velocity that we were given And this comes out to 1.55 times 10 to the negative 10 meters in part B. We want to use the same velocity. But now we're interested in the wavelength of the proton. So we simply change out our expression for the mass and the massive of Proton is 1.67 times 10 to the negative 27 kilograms multiplied by the same velocity. And this is 8.46 times 10 to the negative 14 meters

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