Question

A carbon ion with only one electron is in the n=3 state. (a) What are all the possible values of the quantum numbers of the electron in the n=3 state?

(b) If the electron decays to the ground state, what will be the energy and wavelength of the emitted photon?

(c) What is the binding energy of the electron after the decay?

Answer 1

$% for the principle number n =3 all possible lantun numbers are quantum 1. azimuthal Quantum numbers l= 0, 0,',a. 2. Magneti netic Quantum number '-2, to +2) Intabular form 1 m n = 3 - ot! 2 -2, -7,0, tl, ta

Rydberg's equation." 1 = 1.097 470" (5) Energy ha Ea he - 6.625*10*** 3x10 8 Ground state means n=1' 102.552 x109 and E = 0.938x10'8] Ź = 1,097X107( → Ź = 1.097x10 -18 xicot E =1-938X10''J 1.602x1019 Fler 12.0973 er 8x1.0977107 = 1:02552x107m 102-552 nm (0) Binding energy of an atom BE = (12 (2) х RA n² [12*x 2.18816 -18 12 3-1392 x1016 BE I