Part A Calculate the magnitude of the maximum orbital angular momentum L max 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 5.

Express your answer in units of ? to three significant figures.

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 16.

Express your answer in units of ? to three significant figures.

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 196.

Express your answer in units of ? to three significant figures.

Explanation / Answer

1)
L = sqrt(l*(l+1))*hbar for n = 5 the L_Max occurs for l = 5-1 = 4

So L_Max =sqrt(4*5)*hbar

L_max = 4.47*hbar

2)
L = sqrt(l*(l+1))*hbar for n = 16 the L_Max occurs for l = 16-1 = 15

So L_Max =sqrt(15*16)*hbar

L_max = 15.49*hbar

3)
L = sqrt(l*(l+1))*hbar for n = 196 the L_Max occurs for l = 196-1 = 195

So L_Max =sqrt(195*196)*hbar

L_max = 1955.499*hbar

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