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 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 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

1. A

i and ii

2. B

ii and iii

3. C

iii and iv

4. D

iv and v

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### 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 3dzx and 3dz2 orbitals that are degenerate

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