Magnetic moment of singly ionized helium

AI Thread Summary
To find the magnetic moment of singly ionized helium in terms of the Bohr magneton, it is essential to start with the Bohr radius using Z=2 and e=1, as there is one electron and two protons. The angular momentum can be calculated using the expression L = 2πνr² after determining the radius of the electron's orbit. The discussion raises the question of whether to consider the magnetic moment of the nucleus or the electron, with a suggestion to look up the magnetic moment of the helium nucleus, which is an alpha particle. The coursework has not yet covered the Lande g-factor, indicating a classical approach may be appropriate. Overall, the proposed method involves calculating the electron orbit radius and using it to derive the magnetic moment, comparing the results to the Bohr magneton.
Emspak
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Homework Statement



Find the magnetic moment of singly ionized helium in terms of Bohr Magneton

I know the expression for the Bohr Magneton -- I am not trying to get a walk-through here as I want to do this myself, but I just want to know if I am correct in assuming that to get the problem going I use the Bohr radius expression, but with Z=2 and e = 1 (since we have one electron and two protons).

Plugging in the Bohr radius to the expression for angular momentum (L= 2\pi \nu r^2 after that.

Mostly I wasn't sure if I should assume its the magnetic moment of the nucleus or the electron around it...
 
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that's just it -- it isn't entirely clear from the question whether we're supposed to work from the spins or fro mthe shell model, or derive the whole thing. I was going to derive it and try to go from there.
 
Well what does the coursework do?
 
well, so far he hasn't gone into the equations using Lande g-factor yet, or any of that. So I suspect that I should do the following:

-calculate the radius of single electron orbit around He nucleus using Bohr model
- plug that into the expressions for magnetic moment, working basically classically
- see how that compares to bohr magneton

Does that sound reasonable?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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