A) What is the lowest possible energy (in electron volts) of an electron in hydr

Question

A) What is the lowest possible energy (in electron volts) of an electron in hydrogen if its orbital angular momentum is SqrRoot(30) ?. (if the letter after 30 does not show up, its an h with a line through the stem.)?

B) What is the largest value AND what is the smallest value of the z-component of the orbital angular momentum (in terms of ?) for the electron in part A?

C) What is the largest value AND what is the smallest value of the spin angular momentum (in terms of ?) for the electron in part A?

D) What is the largest value AND what is the smallest value of the orbital angular momentum (in terms of ?) for an electron in the M shell of hydrogen?

Explanation / Answer

a) orbital angular = sqrt( L(L+1)) hbar

so L = 5, means n = 6

E = -13.6/6^2=-0.378 eV

B) so mz = 5hbar and - 5 hbar

c) 1/2 hbar and -1/2 hbar

d) so m means l = 2

so L = 0 hbar and L = sqrt(6) hbar

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