Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 10, Problem 5C
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What is the circumference of the
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Inquiry into Physics
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- Consider hydrogen in the ground state, 100 . (a) Use the derivative to determine the radial position for which the probability density, P(r), is a maximum. (b) Use the integral concept to determine the average radial position. (This is called the expectation value of the electrons radial position.) Express your answers into terms of the Bohr radius, a0. Hint: The expectation value is the just average value, (c) Why are these values different?arrow_forwardMuonium is a hydrogen-like atom inwhich the electron is replaced with a muon, a fundamental particlewith a charge of -e and a mass equal to 207me. (The muon is sometimes referred to loosely as a “heavy electron.”) (a) What is the Bohrradius of muonium? (b) Will the wavelengths in the Balmer seriesof muonium be greater than, less than, or the same as the wavelengths in the Balmer series of hydrogen? Explain. (c) Calculate thelongest wavelength of the Balmer series in muoniumarrow_forwardThe transition from the first excited state to the ground state in potassium results in the emission of a photon with lambda= 770 nm. If potassium vapor is used in a Franck-Hertz experiment, at what voltage would you expect to see the first decrease in current?arrow_forward
- Light of wavelength 2626 nm is emitted by a hydrogen atom. What are the (a) higher quantum number and (b) lower quantum number of the transition producing this emission? (Not 262.6, it is 2626)arrow_forwardCalculate the magnetic moment of an electron (with g=2). What is the Larmor precession frequency of this electron in a magnetic field of flux density 0.3T? What is the difference in energy of the electron if its spin points parallel or antiparallel to the magnetic field? Convert this energy into a frequency.arrow_forwardAn excited hydrogen atom emits light with a wavelength of 121.6 nm to reach the energy level for which n=1. In which principal quantum level did the electron begin? Show the work to calculate the energy of the electron, then show the work to calculate the starting level of the electron.arrow_forward
- Consider an atomic nucleus to be equivalent to a onedimensional infinite potential well with L = 1.4 * 10-14 m, a typical nuclear diameter.What would be the ground-state energy of an electron if it were trapped in such a potential well? (Note: Nuclei do not contain electrons.)arrow_forwardCalculate the ionization energy (eV) for a 'hydrogen-like' atom with one electron and Z = 3 from the excited state of n=2. Submit an answer to three significant figures.arrow_forwardThe first electronically excited state of O2 is 1Δg (doubly degenerate) and lies 7918.1 cm−1 above the ground state, which is 3∑-g (triply degenerate). Calculate the electronic contribution to the heat capacity of O2 at 400 K.arrow_forward
- Investigators have created structures consisting of linear chains of ionized atoms on a smooth surface. Electrons are restricted to travel along the chain. The energy levels of the electrons match the results of the particle-in-a-box model. For a 5.0-nm-long chain, what are the energies (in eV) of the first three states?arrow_forwardWhat is the initial state ni of a hydrogen atom thattransitions to the nf = 3 state and emits a photon with λ =1094 nm?arrow_forward
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