Part A. Calculate, in units of ?, the magnitude of the maximum orbital angular m

Question

Part A. Calculate, in units of ?, the magnitude of the maximum orbital angular momentum for an electron in a hydrogen atom for states with a principal quantum number of 1.00.

Part B.Calculate, in units of

?, the magnitude of the maximum orbital angular momentum for an electron in a hydrogen atom for states with a principal quantum number of 25.0.

Part C. Calculate, in units of

?, the magnitude of the maximum orbital angular momentum for an electron in a hydrogen atom for states with a principal quantum number of 192.

Part D.

Compare each with the value of

n? postulated in the Bohr model. What trend do you see?

Explanation / Answer

PART A)

The orbital angular momentum of an electron with principal quantum number n is:
L = n?h/(2??)
n=1

=1*6.625*10-34/2*3.14

=1.054*10-34Js

PART B)

L=25*6.625*10-34/6.28

=26.37*10-34Js

PARTC)

L=192*6.625*10-34/6.28

=202.54*10-34Js

PARTD)

as n value increases energy required to remove an electron from outermost shell increases

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