Which of the following sets of quantum numbers is correct for an electron in 3d-orbital?
A
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B
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C
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D
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Solution
The correct option is C
Explanation for the correct option:
C)
are the sets of quantum numbers for an electron in 3d-orbital.
The principal quantum number (n) represents the shell number. So, the n value for 3d orbital is .
Angular quantum number (l) for s,p,d and f orbitals is respectively. Hence the l for 3d orbital is .
The magnetic quantum number (m) is dependent on the value of the angular quantum number (l). For a given value of l, the value of m ranges between the interval -l to +l. Therefore, it indirectly depends on the value of n. So the m value for 3d orbital ranges from .
The spin quantum number(s) is always or
Explanation for the incorrect options:
A)
are not the sets of quantum numbers for an electron in 3d-orbital.
Since the l value for 3d orbital is , the m value for 3d orbitals are . So the given value of m = is not correct.
B)
are not the sets of quantum numbers for an electron in 3d-orbital.
l value for s,p,d and f orbitals is respectively. So, the l value for the d orbital is , not .
Since the l value for 3d orbital is , the m value for 3d orbitals are . So the given value of m = is not correct.
D)
are not the sets of quantum numbers for an electron in 3d-orbital.
Since the l value for 3d orbital is , the m value for 3d orbitals are . So the given value of m = is not correct.