What is the angular momentum of a hydrogen atom in different orbit states?

Zywo
Messages
10
Reaction score
0

Homework Statement



What is the angular momentum of a hydrogen atom in (a) a 4p state and (b) a 5f state? Give your answers as a multiple of h-bar aka (h/2*pi)


Homework Equations



Radius of nth orbit = 5.29*10-11 * n^2
Angular Momentum = mvr
V of nth orbit = sqrt ( e^2 / (4*pi*epsilon_0*m*r) )

The Attempt at a Solution



For 4p orbit i plugged in 4 to the equations and got angular momentum is equal to 4 h-bar,
not right however...
Thanks,
David
 
Physics news on Phys.org
Solved my own problem, if anyone has this same issue the answer is more simple than i thought. L = h-bar*sqrt(l(l+1)) where l is the orbital quantum number
 
I tried plugging in 4 for the orbital quantum number and got it to be sqrt(20)*h-bar, but this was incorrect. Did I plug in the wrong number for the orbital?

Thanks,
Spencer
 
In the 4p state, n=4 and l=1. Where 'l' comes from the p in 4p. Remember the quantum number 'l' is labeled by s,p,d,f... for l=0,1,2,3,..

You don't use the 'n' when solving for the angular momentum.
 
Ok, you I forgot how to find l. Now it works. Thanks for the response
 
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
Back
Top