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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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The Bohr model for the hydrogen atom posits that the atom's electron can only occupy circular orbits, with the circumference of each orbit containing an integral number of de Broglie wavelengths.
Suppose that an electron in a particular hydrogen atom is in the first excited orbit, corresponding to
n = 2.
(a)
What is the radius (in nm) of this electron's orbit around the atom's nucleus (a proton)?
nm
(b)
What is the de Broglie wavelength (in nm) for an electron in this orbit?
nm
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- What is the energy in eV and wavelength in µm of a photon that, when absorbed by a hydrogen atom, could cause a transition from the n = 4 to the n = 6 energy level? (a) energy in eV? (b) wavelength in µm?arrow_forwardDuring a certain experiment, the de Broglie wavelength of an electron is 500 nm = 5.0 ✕ 10−7 m, which is the same as the wavelength of green light. How fast (in m/s) is the electron moving?arrow_forwardIn the Bohr model of the atom, we assume that nanoscale particles behave according to classical physics (This assumption is not entirely justified, but does work surprisingly well). In this model, an electron (mass m = 9.11 x 10-³1 kg) orbits a nucleus at a distance that depends on the principal quantum number of the electron (1s orbital, 2s orbital, etc) and the composition of the nucleus. If the electron orbits at a distance of 9.90 x 10-¹1 m due to a Coulomb force of 2.35 x 10-8 N, how many revolutions per second does the electron make? 2.569arrow_forward
- The nucleus of a typical atom is 5.0 fm (1 fm = 10-15 m) in diameter. A very simple model of the nucleus is a onedimensional box in which protons are confined. Estimate the energy of a proton in the nucleus by finding the first three allowed energies of a proton in a 5.0-fm-long box.arrow_forwardThe quantum state of an electron in an atom is described by quantum numbers n = 6, ℓ = 5, and mℓ = 2. The z-component orbital angular momentum of the electron is measured to be x × h/2π, where h is Planck’s constant. What is the number x (remember to use the scientific notation)?arrow_forwardThe nucleus of an atom is on the order of 10-14 m in diameter. For an electron to be confined to a nucleus, its de Broglie wavelength would have to be on this order of magnitude or smaller. What would be the kinetic energy of an electron confined to this region?arrow_forward
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