Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 43, Problem 33P

(a)

To determine

Linear momentum of the neutron.

(b)

To determine

The de Broglie wavelength.

(c)

To determine

To compare the wavelength with the size of the nucleus and an atom.

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Thermal neutrons are incident on a crystal whose principal Bragg plane spacing is 3.0Å. If a first-order Bragg reflection from the planes is found at 30°, what is the kineticenergy of the thermal neutrons (mass = 1.67 × 10-27kg)?
A 3.0 MeV proton is incident on a potential energy barrier of thickness 10 fm and height 10 MeV.What are (a) the transmission coefficient T, (b) the kinetic energy Kt the proton will have on the other side of the barrier if it tunnels through the barrier, and (c) the kinetic energy Kr it will have if it reflects from the barrier? A 3.0 MeV deuteron (the same charge but twice the mass as a proton) is incident on the same barrier.What are (d) T, (e) Kt, and (f) Kr?
Note that a thermal neutron is a neutron whose most probable kinetic energy is ~ 0.025 eV. What is the de Broglie wavelength of a thermal neutron? (Hint: Neutrons in a nuclear reactor are thermalized in order to enhance their probability of fissioning 235U.)
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