EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
4th Edition
ISBN: 9780133899634
Author: GIANCOLI
Publisher: PEARSON CO
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Chapter 38, Problem 45P

(a)

To determine

The height of the Coulomb barrier.

(b)

To determine

The width of the barrier of a free alpha particle.

(c)

To determine

The speed of the alpha particle, the number of collision between the particle and the barrier, and the lifetime of uranium.

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In a Rutherford scattering experiment, an a - particle (charge = 12e) heads directly toward a gold nucleus (charge = +79e). The alpha - particle had a kinetic energy of 5.0 MeV when very far (r -> infinity`) from the nucleus. Assuming the gold nucleus to be fixed in space, determine the distance of closest approach. Hint: Use conservation of energy with PE = ke q1q2/r.
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ts) We can approximate the 232Th nucleus as a one-dimensional infinite square well with length L equal to the nuclear radius R = R₁A¹/3, where Ro = 1.2 fm and A is the atomic mass number. (a) What is the length of this infinite square well? What is the ground state energy of a proton (which has mass m₂ = 938.3 MeV/c²) in this infinite square well? (b) 232Th has 90 protons and 142 neutrons. Assume that all these protons and neutrons trapped in the infinite square well. How many energy levels of this infinite square well contain protons? How many energy levels contain neutrons?

Chapter 38 Solutions

EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST

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