Answer to Question #236833 in Quantum Mechanics for Zeedan

Question #236833

Due to collision of an of energy 22 eV with a hydrogen atom, the atom exited to the higher energy state and motion of electron is retarded. Immediately a photon of wavelength 1216 Å is emitted. What is the velocity of the electron after the collision?


P.S. Answer is 2.037 x 10^6 m/s


1
Expert's answer
2021-09-14T14:16:02-0400

mv2/2=22ehc/λv=2(22ehc/λ)/m=mv^2/2=22\cdot e-hc/\lambda\to v=\sqrt{2\cdot(22\cdot e-hc/\lambda)/m}=


=2(221.610196.6261034108/12161010)/(9.11031)2.6 (Mm/s)=\sqrt{2\cdot(22\cdot 1.6\cdot10^{-19}-6.626\cdot10^{-34}\cdot10^8/1216\cdot10^{-10})/(9.1\cdot10^{-31})}\approx2.6\ (Mm/s)


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