College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- (c) Consider the semi-classical model for a two-electron atom illustrated in the diagram below. This model attempts to extend the Bohr model to a two-electron system by assuming both electrons follow a circular orbit around the nucleus while remaining diametrically opposite to each other. electron nucleus, electron (i) Carefully explain why, for the ground state of helium, this semi-classical model predicts that both electrons would experience an effective nuclear charge Zeff %3D (ii) Assuming that each electron's angular momentum is quantized in the same manner as the usual Bohr model for single-electron atoms, calculate the total binding energy of the ground state of helium according to this semi classical model.arrow_forward…arrow_forwardThe image represents the gaps between allowed energy levels for electrons. Which model best describes this phenomenon? A. the wave model because electrons orbit the atom's nucleus in a continuous way B. the particle model because electrons are particles C. the wave model because the arrows show that the energy transfer is continuous D. the particle model because the arrows represent discrete particle-like jumpsarrow_forward
- A neutral atom of the element boron (B) has 5 electrons. Four of the electrons are removed, forming an ion with the one remaining electron. a) Sketch an energy level diagram for this ion, showing the ground state and the first two excited states. Label each state with the value of its energy. b) Calculate the two longest wavelengths at which this ion can absorb radiation. Assume all absorption occurs from the ground state. c) What is the minimum amount of energy needed to remove the electron from the ground state of this ion?arrow_forwardWhich 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. 1.89/hxc b. hc/1.89 c. 1.89 x h x c d. (1.51 + 3.4)/hc e. hc/3.4arrow_forwardAn electron is excited from the n=1 ground state to the n=3 state in a hydrogen atom. Which of the following statements are true? Correct the false statements to make them true. (It may help to draw the Bohr model of the atom with the corresponding electron orbits.)a. It takes more energy to ionize (completely remove) the electron from n = 3 than from the ground state.b. The electron is farther from the nucleus on average in the n = 3 state than in the n = 1 state.c. The wavelength of light emitted if the electron drops from n = 3 to n = 2 will be shorter than the wavelength of light emitted if the electron falls from n = 3 to n = 1.d. The wavelength of light emitted when the electron returns to the ground state from n = 3 will be the same as the wavelength of light absorbed to go from n = 1 to n = 3.e. For n = 3, the electron is in the first excited state.arrow_forward
- 7. Determine the velocity of the electron in a positronium atom which is shown in the figure (figure is attached). Assume the radius of the positronium atom is 2 x 5.3 x 10 cm a) What is the total angular momentum about the center of the positronium atom in Problem 7? b) What is the force on the electron due to the positron? (Give both magnitude and direction.) c) What is the electric potential energy of the positronium atom?arrow_forwardIn the picture are two diagrams of the first five orbits in the Bohr model labeled A - E. The dot in an orbit is the electron. The nucleus is not shown. Shown is a BEFORE and AFTER state of the atom. An energy level diagram for the Bohr hydrogen atom is shown. Which of these events has occurred in going from the BEFORE to the AFTER state? a. a photon of energy 0.97 eV has been emitted b. a photon of energy 1.51 eV has been absorbed c. a photon of energy 1.51 eV has been emitted d. an electron of energy 1.51 eV has been emitted e. a photon of energy 0.97 eV has been absorbedarrow_forwardB7arrow_forward
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