Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 6, Problem 6Q
To determine

Whether the statement [H]=[E] is correct or not.

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(a) Find the mass density of a proton, modeling it as a solid sphere of radius 1.00 x 10-15 m. (b) What If? Consider a classical model of an electron as a uniform solid sphere with the same density as the proton. Find its radius. (c) Imagine that this electron possesses spin angular momentum Iω = h/2 because of classical rotation about the z axis. Determine the speed of a point on the equator of the electron. (d) State how this speed compares with the speed of light.
Consider the electron in a hydrogen atom is in a state of ψ(r) = (x + y + 3z)f(r).where f(r) is an unknown function depending only on r.(a) Is ψ an eigenstate of Lˆ2? Find the eigenvalue if your answer is ’Yes’.(b) Compute the probabilities of finding this electron in eigen states with m = −1, 0, +1. (c) Compute <Lz> in this state.
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