Thermal neutrons are produced by a fission nuclear reactor. The temperature of the neutrons is about room temperature, T × 299 K. The kinetic energy of the neutron is E = kgT, where kB = 1.38 × 10–23 J/K is the Boltzmann constant. The mass of a neutron is mn = 1.67 × 10-27 kg. Part 1) Calculate the de Broglie wavelength of a thermal neutron. nm

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter27: Quantum Physics
Section: Chapter Questions
Problem 34P
icon
Related questions
icon
Concept explainers
Question
Thermal neutrons are produced by a fission nuclear reactor. The temperature of the neutrons is about room temperature, T 2 299 K.
The kinetic energy of the neutron is E = kgT, where kp = 1.38 x 10–23 J/K is the Boltzmann constant. The mass of a neutron is m, =
1.67 x 10-27
kg.
Part 1)
Calculate the de Broglie wavelength of a thermal neutron.
nm
Part 2)
The highest energy photons ever observed are y-rays with energies up to 311 trillion electron volts, Ey = 311 × 102 eV. The rays come from the Crab nebula, the remnant of a
supernova explosion.
Calculate the wavelength of these photons.
m
Part 3)
A position uncertainty of an electron in a hydrogen atom is about size of the atom, which is Aæ = 0.500 Å = 0.500 × 10–10 m.
Using the Heisenberg uncertainty relation, Ap Ax = , calculate the related kinetic energy (zero motion energy):
(Ap?
2m
E =
2m
The electron mass is m =
:0.910 x 10-30
kg.
E
eV
Transcribed Image Text:Thermal neutrons are produced by a fission nuclear reactor. The temperature of the neutrons is about room temperature, T 2 299 K. The kinetic energy of the neutron is E = kgT, where kp = 1.38 x 10–23 J/K is the Boltzmann constant. The mass of a neutron is m, = 1.67 x 10-27 kg. Part 1) Calculate the de Broglie wavelength of a thermal neutron. nm Part 2) The highest energy photons ever observed are y-rays with energies up to 311 trillion electron volts, Ey = 311 × 102 eV. The rays come from the Crab nebula, the remnant of a supernova explosion. Calculate the wavelength of these photons. m Part 3) A position uncertainty of an electron in a hydrogen atom is about size of the atom, which is Aæ = 0.500 Å = 0.500 × 10–10 m. Using the Heisenberg uncertainty relation, Ap Ax = , calculate the related kinetic energy (zero motion energy): (Ap? 2m E = 2m The electron mass is m = :0.910 x 10-30 kg. E eV
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Quantum mechanics and hydrogen atom
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Inquiry into Physics
Inquiry into Physics
Physics
ISBN:
9781337515863
Author:
Ostdiek
Publisher:
Cengage
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Horizons: Exploring the Universe (MindTap Course …
Horizons: Exploring the Universe (MindTap Course …
Physics
ISBN:
9781305960961
Author:
Michael A. Seeds, Dana Backman
Publisher:
Cengage Learning