Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Question
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.
Chapter 6 Solutions
Horizons: Exploring the Universe (MindTap Course List)
Ch. 6 - Prob. 1RQCh. 6 - Prob. 2RQCh. 6 - Prob. 3RQCh. 6 - Prob. 4RQCh. 6 - Prob. 5RQCh. 6 - Prob. 6RQCh. 6 - Prob. 7RQCh. 6 - Prob. 8RQCh. 6 - Prob. 9RQCh. 6 - Prob. 10RQ
Ch. 6 - Prob. 11RQCh. 6 - How Do We Know? How is the world you see around...Ch. 6 - Prob. 1DQCh. 6 - Prob. 2DQCh. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - If one star has a temperature of 6000 K and...Ch. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 1LTLCh. 6 - Prob. 2LTLCh. 6 - Prob. 3LTLCh. 6 - Prob. 4LTL
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- Determine the distance between the electron and proton in an atom if the potential energy UU of the electron is 15.2 eV (electronvolt, 1 eV =1.6×10−19 J). Give your answer in Angstrom (1 A = 10-10 m).arrow_forwardAssume the electron in a hydrogen atom is 53.0 pm from the nucleus of the atom, which consists of a single proton. (a) calculate the electrical force between the electron and the nucleus. (b) Calculate the gravitational force between the electron and the nucleus. (c) What is the ratio of the gravitational force to the electrical force?arrow_forwardThe energy levels of a hypothetical atom are shown here. Which of the following photons can an electron sitting in the -4eV energy level absorb? (select two answers) -0.2 ev -0.4 ev -1.8 ev 4 ev A photon with 2.5 eV of energy A photon with 3.8 eV of energy A photon with 0.4 ev of energy A photon with 1.8 ev of energy A photon with 2.2 ev of energyarrow_forward
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