Question #204571

A particular hydrogen atom is in an energy state with E = –2.418×10-19 J. Calculate the maximum angular momentum this atom could have.

Give the value as a multiple of ℏ to 2 decimal places. (e.g. if you calculated L = 1.41ℏ, then you would enter "1.41" as your value).


1
Expert's answer
2021-06-09T08:05:39-0400

E=E0n2,    E=\frac{E_0}{n^2},\implies

n=E0E=13.62.418=2.37,n=\sqrt{\frac{E_0}{E}}=\sqrt{\frac{13.6}{2.418}}=2.37,

Le=n(n+1)=28.26.L_e=\hbar \sqrt{n(n+1)}=28.26\hbar.


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