Why Do Thermal Neutrons Use v = sqrt(2kT/m) Instead of v = sqrt(3kT/m)?

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SUMMARY

The discussion clarifies that the most probable velocity of thermal neutrons is accurately represented by the equation v = sqrt(2kT/m), where k is the Boltzmann constant, T is the temperature, and m is the mass of the neutrons. The alternative equation v = sqrt(3kT/m) is not applicable in this context. This distinction is crucial for understanding the kinetic theory of gases and the behavior of particles at thermal equilibrium.

PREREQUISITES
  • Understanding of the Boltzmann constant (k)
  • Familiarity with thermal dynamics and temperature (T)
  • Knowledge of neutron mass (m)
  • Basic principles of kinetic theory
NEXT STEPS
  • Research the derivation of the Boltzmann distribution
  • Explore the implications of thermal velocities in particle physics
  • Learn about the Maxwell-Boltzmann distribution and its applications
  • Investigate the role of temperature in the behavior of thermal neutrons
USEFUL FOR

Students and professionals in physics, particularly those focusing on thermodynamics, particle physics, and kinetic theory, will benefit from this discussion.

sandon
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The most probable velocity of thermal neutrons can than be approximated by the Boltzmann constant and is given by the following:

v = sqrt (2kT/m)

where
k is the Boltzmann constant
T is the temperature
m is the mass of the neutrons

My question is why is the above equation not the following

v= sqrt(3kT/m)
 
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Dont need an answer i got it
 

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