An early (incorrect) model of the hydrogen atom, suggested by J. J. Thomson, proposed that a positive
Question:
(a) Using Gauss’s law, show that the electron would be in equilibrium at the center and, if displaced from the center a distance r < R, would experience a restoring force of the form F = -Kr, where K is a constant. (b) Show that K = ke e 2/R3.
(c) Find an expression for the frequency f of simple harmonic oscillations that an electron of mass me would undergo if displaced a small distance (-R) from the center and released.
(d) Calculate a numerical value for R that would result in a frequency of 2.47 x 1015 Hz, the frequency of the light radiated in the most intense line in the hydrogen spectrum.
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Related Book For
Physics for Scientists and Engineers A Strategic Approach with Modern Physics
ISBN: 978-0133942651
4th edition
Authors: Randall D. Knight
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