Hydrogen Atom Ionization Wavelength · CAP 2007 #16

Physics · modern-physics

Problem

According to the Bohr model of the atom, an electron can undergo a transition from one orbit that is closer to the nucleus to another which is farther from the nucleus, by absorbing a photon whose energy E depends on its frequency f as E = hf, where h is Planck's constant. An energy of 13.6 eV is needed to ionize a hydrogen atom by ejecting an electron from the lowest energy level. What is the longest wavelength of a photon that can eject the electron from the lowest energy level of the atom? (a) 40 nm; (b) 60 nm; (c) 70 nm; (d) 80 nm; (e) 90 nm.

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