Part A Calculate the magnitude of the maximum orbital angular momentum Lmax for

Question

Part A Calculate the magnitude of the maximum orbital angular momentum Lmax for an electron in a hydrogen atom for states with a principal quantum number of 3. Express your answer in units of to three significant figures Lmax(n=3)=

Part B Calculate the magnitude of the maximum orbital angular momentum Lmax for an electron in a hydrogen atom for states with a principal quantum number of 43. Express your answer in units of to three significant figures. Lmax(n=43)=

Part C Calculate the magnitude of the maximum orbital angular momentum Lmax for an electron in a hydrogen atom for states with a principal quantum number of 150. Express your answer in units of to three significant figures. Lmax(n=150)=

Explanation / Answer

part A

L = sqrt(l*(l+1))*hbar

for n=3 Lmax occurs at l = 3-1 = 2

Lmax = sqrt(2*3)*hbar = 2.449*hbar

Part b

Lmax for n = 43 occurs at l = 43-1 = 42

Lmax = sqrt(42*43)*hbar = 42.497*hbar

Part C

Lmax = sqrt(149*150)*hbar = 149.499*hbar

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