UncategorizedIn a multi – electron atom, which of the following orbitals described by the three quantum numbers will have the same energy in the absence of magnetic and electric fieldi) n = 1, l = 0, m = 0 ii) n = 2, l = 0, m = 0iii) n = 2, l = 1, m = 1 iv) n = 3, l = 2, m = 1v) n = 3, l = 2, m = 0

In a multi - electron atom, which of the following orbitals described by the three quantum numbers will have the same energy in the absence of magnetic and electric field
i) n = 1, l = 0, m = 0 ii) n = 2, l = 0, m = 0
iii) n = 2, l = 1, m = 1 iv) n = 3, l = 2, m = 1
v) n = 3, l = 2, m = 0

A
i and ii
B
ii and iii
C
iii and iv
D
iv and v

Solution:

In a multi-electron atom, the orbitals (iv) n=3,l=2,m=1 and (v) n=3,l=2,m=0 described by the three quantum numbers will have the same energy in the absence of magnetic and electric fields.
These refers to 3d_yz or 3d_zx and 3d_z2 orbitals that are degenerate

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