Physics · Atoms & Spectra · Kinetic Theory of Gases
Problem
Consider an electron in the n = 3 orbit of a hydrogen-like atom with atomic number Z. At absolute temperature T, a neutron having thermal energy kBT has the same de Broglie wavelength as that of this electron. If this temperature is given by T = Z²h²/(απ²a₀²mNkB), (where h is the Planck’s constant, kB is the Boltzmann constant, mN is the mass of the neutron and a₀ is the first Bohr radius of hydrogen atom) then the value of α is ___