68 A muon of charge -e and mass m = 207m. (where m, is the т mass of an electron) orbits the nucleus of a singly ionized helium atom (He*). Assuming that the Bohr model of the hydrogen atom can be applied to this muon-helium system, verify that the energy levels of the system are given by 11.3 keV E = n-

68 A muon of charge -e and mass m = 207m. (where m, is the т mass of an electron) orbits the nucleus of a singly ionized helium atom (He*). Assuming that the Bohr model of the hydrogen atom can be applied to this muon-helium system, verify that the energy levels of the system are given by 11.3 keV E = n-

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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QUESTION 10 Which of these expressions would yield the wavelength of light in meters emitted when an electron drops from orbit n = 3 to n = 2 in a Bohr hydrogen atom? Given h = 4.14 x 10-15 eVs and c = 3.00 x 108 m/s. a. hc/1.89 b. 1.89 x h x c c. 1.89/hxc d. (1.51 + 3.4)/hc e. hc/3.4
Platinum has a prominent x-ray emission line at 66.8 keV. (a) What is the minimum speed (in m/s) of an incident electron that could produce this emission line? m/s (b) What is the wavelength (in m) of a 66.8 keV x-ray photon? m
c) The Bohr model of the atom postulated electrons orbiting around the nucleus in stable orbits. De Broglie explained what orbits could exist by postulating that electrons (and any- thing else) with momentum p have an associated wavelength λ, given by λ=h/p where h is Planck's constant. i) For an electron orbiting around a proton (the Bohr model), equating the centripetal force with the Coulomb force gives the expression v² = e²/(4πεmer). Calculate the speed of an electron orbiting at the Bohr radius, ˜Â = 0.053 nm. ii) Calculate the momenta and the de Broglie wavelengths of the electron of part (i) and of a bird (a racing pigeon) that weighs 0.350 kg and flies at 100 km per hour. iii) Compare the wavelength for the electron that you obtain in (ii) with the circumference of the orbit. Comment on this comparison. Explain briefly what it implies about the other possible orbits of the Bohr model and how the higher orbits might be predicted.
If the wavelength of an electron is 4.58 ✕ 10−7 m, how fast is it moving? km/s(b) If the electron has a speed equal to 3.80 ✕ 106 m/s, what is its wavelength? m
When you shine a certain source of EM radiation on a sheet of gold (work function W1 = 5.1 eV), the stopping voltage required to bring all the ejected electrons to a halt is V = 3.5 V. If you were to use this same source of EM radiation on a sheet of potassium (work function W2 = 2.3 eV), what would be the maximum speed of ejected electrons?
How rapidly would each of the following particles be moving if they all had the same wavelength as a photon of red light (wavelength = 750 nm)?a. An electron of mass 9.10939 x 10^-28 g?b. A proton of mas 1.67262 x 10^-24 gc. A neutron of mass 1.67493 x 10^-24 gd. An alpha particle of mass 6.64 x 10^-24 g Please don't provide handwriting solution
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Based on your answer in Question 7, when light with a wavelength of 198 nm strikes the surface of tin metal, electrons are ejected with a maximum kinetic energy of 2.9 x 10-19 J. What is the binding energy of these electrons to the metal? A 1.2 x 10-18 ) B 1.0 x 10-18 J С) 7.1 х 10-19] 1.98 x 10-7J
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