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Question

The energies of orbital in a multi-electron depend on the quantum number(s) :

A
m
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B
n
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C
l
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D
both b and c
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Solution

The correct option is D both b and c
The principal quantum number, n (the energy level)
  • determines the size of an orbital (larger n = bigger orbitals)
  • largely determines the energy of the orbital (larger n = higher energy)
  • can take on integer values n = 1, 2, 3, ...,
  • all electrons in an atom with the same value of n are said to belong to the same principle energy level
The azimuthal quantum number, l (the sublevel)
  • designates the overall shape of the orbital within a shell

  • affects orbital energies (larger = higher energy)

  • all electrons in an atom with the same value of are said to belong to the same sublevels

  • only integer values between 0 and n-1 are allowed

  • sometimes called the orbital angular momentum quantum number

  • spectroscopists use the following notation for sublevels

Also,
as we know,
energy of sublevels s<p<d<f.
so energies of orbital in a multi-electron depend on the quantum number(s) n & l.

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