PART B: Calculate the magnitude of the maximum orbital angular momentum L m a x

Question

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 49. 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 167. 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 49. 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 167. Express your answer in units of ? to three significant figures.

Explanation / Answer

b) L = sqrt(l*(l+1))*hbar for n = 49 the L_Max occurs for l = 49-1 = 48

So L_Max =sqrt(48*49)*hbar

L_max = 48.497*hbar

c)

L = sqrt(l*(l+1))*hbar for n = 167 the L_Max occurs for l = 166

So L_Max =sqrt(166*167)*hbar

L_max = 166.50*hbar

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