Question

(b) () Explain why the magnetic moment of silver atom is only 1 Bohr magneton although it has 47 electrons. () Ignoring the nuclear effects, what is the magnetic moment of an atom in the 3po state? (ii) In a Stern-Gerlah experiment, a collimated beam of neutral atoms splits up into 7 equally spaced lines. What is the total angular momentum of the atom? What is the ratio of intensities of spectral lines in hydrogen spectrum for the transitions (iv) 2 2P1/2-12s1/2 and 27pǐe+ 12S1/2 (40 marks) (c) What is meant by an "exchange force"? Would it be possible to measure effects of the exchange force acting between two electrons if there were no Coulomb interactions between them? (30 marks)

Answer 1

b/(i) for silver atom z = 47 having electronic configuration 4d^10 5s^1. The outer orbital 5s contains only one electron in s orbit. It has zero orbital angular momentum and non-zero spin angular momentum spin magnetic moment. mu_s/vert s vert = g e/2m vert mu_s vert = squareroot s(s + 1) mu_B Substituting value of s, (mu_s) = mu_B \r\n (iii) In Stern Gerlah experiment, after passing through non uniform magnetic field, 2J + 1 = 7 rightwardsdoublearrow J = 6/2 = 3 Intensity of spectral lines is proportional to quantum (iv) weight (2J + 1) of the level from which it is emitted. I alpha 2J + 1 2^2 p_1/2 rightarrow 1^2 S_1/2 ---(1) 2^2 p_3/2 rightarrow 1^2 S_1/2 ---(2) I_2/I_1 = 4 - 2/2 - 1 = 2/1 \r\n (c) Exchange force-A force acting between two elementary particles such as neutron n (udd) and a proton p (uud) arising from continuous interchange between them of other particles(pions). the exchange force denotes a force
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