Horizons: Exploring the Universe (MindTap Course List)
Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 6, Problem 3RQ
To determine

The reason due to which the binding energy of an electron related to the size of its orbit.

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Consider the element Hydrogen. In this atom, assume the electron travels with a speed of 6.8 105 m/s. What is the radius between the nucleus and the orbiting electron in m?
The nucleus of a certain atom has a radius of 4.0 × 10^-15 m. An electron orbits the nucleus at a radius of 1.5 × 10^-10 m. Imagine the electron orbit is on the surface of a sphere and that the shape of the nucleus is spherical. Approximately how many nuclei would fit into the sphere on which the electron orbits?
. A general expression for the energy levels of one-electron atoms and ions is uk q°q² E, 2h'n? Here u is the reduced mass of the atom, given by u = m, m,/ (m, + m2), where m is the mass of the electron and m, is the mass of the nucleus; k, is the Coulomb constant; and q and 2 are the charges of the electron and the nucleus, respec- tively. The wavelength for the n= 3 to n = 2 transition of the hydrogen atom is 656.3 nm (visible red light). What are the wavelengths for this same transition in (a) positronium, which consists of an electron and a positron, and (b) singly ionized helium? Note: A positron is a positively charged electron.
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