Starting from the MaxwellBoltzmann distribution, eq. (18.10) for the probability of finding a particle with energy E
Question:
Starting from the Maxwell–Boltzmann distribution, eq. (18.10)
for the probability of finding a particle with energy E in a gas with temperature T, show that the most probable speed for a particle is v̅ = √2kBT/m, but that the average speed of a particle is 〈v〉 = √8kBT/πm. Verify that the most probable speed for a neutron at T = 20◦C is ∼2200m/s.
Transcribed Image Text:
dPB VEe-E/kBT (7 kB T)3/2 dE
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First we change variable from E to v using E mv 2 2 and dE mv dv To ...View the full answer
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