Modern Physics For Scientists And Engineers
Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 5, Problem 5.20P
To determine

(a)

The orbital radius for a pion captured in the n=1 orbit by a carbon nucleus.

To determine

(b)

To check:

Whether the carbon nucleus radius R3×1015 m can be formed or not.

To determine

(c)

The orbital radius for a pion captured in the n=1 orbit by a lead nucleus.

Whether the lead nucleus with radius R7×1015m can be formed or not.

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6.46 Atoms with very high quantum numbers, so that the atom is laboratory sized, are known as Rydberg atoms. (a) What would be the quantum number of a hydrogen atom with a radius of 1 um? (b) What would be the ionization energy of this atom? (c) What would be the wavelength of the transition to the next lowest level?
A hydrogen atom (with the Bohr radius of half an angstrom) is situated between two metal plates 1 mm apart, which are connected to opposite terminals of a 500 V battery. What fraction of the atomic radius does the separation distance d amount to, roughly? Estimate the voltage you would need with this apparatus to ionize the atom.
Problem 4.2 According to quantum mechanics, the electron cloud for a hydrogen atom in the ground state has a charge density. –2r/a p(r) = where q is the charge of the electron and a is the Bohr radius. Find the atomic polarizability of such an atom. [Hint: First calculate the electric field of the electron cloud, Ee(r); then expand the exponential, assuming r « a. For a more sophisticated approach, see W. A. Bowers, Am. J. Phys. 54, 347 (1986).]
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