Question

The electron volt (eV) is a convenient unit of energy for expressing atomic-scale energies. It is the amount of energy that an electron gains when subjected to a potential of 1 volt;1 eV = 1.602 ✕ 10⁻¹⁹ J. Using the Bohr model, determine the energy, in electron volts, of the photon produced when an electron in a hydrogen atom moves from the orbit with n = 4 to the orbit with n = 2.

(Assume that the Bohr constant and radius are 2.179 ✕ 10⁻¹⁸ J and 5.292 ✕ 10⁻¹¹ m, respectively.)

Answer 1

Energy of transition in ev between two energy level is, Z2 E = - 13.6 ev Z = atomic no 02 DE - -13.6 22 (1 2 1 2 en 12

- SO, DE - -13.6 (102 42) ev I 42 22 -13.6 x (0.1875) er = -2.55ev Negative sign indicates the release of energy é moves from n=4 to n=2. when