There are 6 answers, please type out final values and label answers. An electron

Question

There are 6 answers, please type out final values and label answers.

An electron is in a state with = 3. (a) What multiple of gives the magnitude of the angular momentum? (b) What multiple of MuB gives the magnitude of the orbital magnetic dipole moment? (c) What is the largest positive value of, (d) what multiple of gives the corresponding value of Lz, and (e) what multiple of MuB gives the corresponding value of Muorb, z? (f) What is the value of the semiclassical angle Theta between the directions of the angular momentum vector and the z axis?

Explanation / Answer

let's make the solution simple:

(a)

L = sqrt(l(l+1) h/2pi)

here, l = 3

L = 0.5513 h

(b)

u = sqrt(l(l+1)) ub

u = 3.46 ub

(c)

moment = lub

moment = 3ub

(d)

cos theta = lz/l

theta = 30.09 degrees

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