Pathria Statistical Mechanics Problem 3.24
"Show that in the relativistic case the equipartition theorem takes the form < m0u2(1-u2/c2)-1/2 > = 3kT, where m0 is the rest mass of the particle and u its speed. Check that in the extreme relativistic case the mean thermal energy per particle is twice its value in the non-relativistic case."
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Pathria Statistical Mechanics Problem 3.24 "Show that in the relativistic case the equipartition theorem takes the...
solve last one .include all the steps
Show that if an electron is accelerated through V volts then the deBroglie wave- length in angstroms is given by λ-(1 ) 12 A thermal neutron has a speed v at temperature T 300 K and kinetic energy L. Calculate its deBroglie wavelength. State whether a beam of these neutrons could be diffracted by a crystal, and why? (b) Use Heisenberg's Uncertainty principle to estimate the kinetic energy (in MeV) of a nucleon...