Question

A hydrogen atom is in the n = 6 state. Determine, according to quantum mechanics, (a)...

A hydrogen atom is in the n = 6 state. Determine, according to quantum mechanics, (a) the total energy (in eV) of the atom, (b) the magnitude of the maximum angular momentum the electron can have in this state, and (c) the maximum value that the z component Lz of the angular momentum can have.
0 0
Add a comment Improve this question Transcribed image text
Answer #1

$A hydrogen atom is in $ 6^{th}$ state , so according to quantum mechanics $\\a.$ The energy of the atom is $\epsilon =-\frac{13.6eV}{6^2}=0.377eV.\\b.$ The maximum value of l=n-1=5, so the maximum value of angular momentum L=$\sqrt{l(l+1))}\hbar=\sqrt{30} \hbar.\\c.$ The maximum value of $m_l=5 $ then maximum value of z-component of the angular momentum is $L_z=m_l\hbar=5\hbar

Add a comment
Know the answer?
Add Answer to:
A hydrogen atom is in the n = 6 state. Determine, according to quantum mechanics, (a)...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT