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For the n = 3 electron shell, which of the following quantum numbers are valid? Check all that apply.

l = 3

m = 3

l = 0

m = –2

l = –1

m = 2

Respuesta :

Answer: l=0, m= -2, m=2 are all valid.

Explanation: The given value on n =3, that is the principal quantum number or the main energy level for the electron is 3 i.e. M shell.

For a given value of n, the possible values of azimuthal quantum number (l) are 0 to n-1.

Thus possible values of l are = 0, 1 , 2

Also for a given value of l, the possible values of magnetic quantum number (m) are = l to -l

Thus  for l=0 possible values of m is 0  ,  for l = 1 possible values of m are -1, 0 and 1 , for l= 2 possible values of m are -2, -1, 0, 1, 2

For the n = 3 electron shell, the following quantum numbers are valid;

  • l = 0
  • m = –2
  • m = 2

Quantum numbers are used to describe the position of an electron in an atom.

There are four sets of quantum numbers;

  • Orbital quantum number (l)
  • Principal quantum number (n)
  • Magnetic quantum number (m)
  • Spin quantum number (s)

For an electron in orbital n=3, the possible values of l are 0 to 2. The possible values of m are -2, -1, 0, 1, 2.

Hence;

  • l = 0
  • m = –2
  • m = 2

Are valid quantum numbers for that electron.

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