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A photon has momentum of magnitude $8.24 \times 10^{-28} \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$ . (a) What is the energy of this photon? Give your answer in joules and in electron volts. (b) What is the wavelength of this photon? In what region of the electromagnetic spectrum does it lie?

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A) 1.54 $\mathrm{eV}$B) 804 $\mathrm{nm}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 28

Photons, Electrons, and Atoms

Electromagnetic Waves

Atomic Physics

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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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brace. So we have the following relationship between energy mo mentum and rest mass. And in the case of of photons, um is equal to zero. So this reduces Tio. He is equal to p times c. So in this case, our mo mentum is 8.24 times 10 issue the negative 28 and we multiplied by the speed of light. Can you tens tend to the eight meters per second and this gives us 2.47 times 10 to the negative 19. Jules, if we want to convert this to evey, we simply divide this number by 1.6 times sent the negative 19 and that comes out to 1.5 for electron volts. If we want to know the wavelength of this photon we can use the day broke. The relation p is equal to each other, Landa. So that means that land is equal to h o ver p shit. H is planks constant and that has a value of 6.63 times 10 to the negative 34 jules dot seconds and we divide by our momentum. Yeah, and we had 8.4 times 10 to the negative seven meters and this is in the infrared range of the electromagnetic spectrum.

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