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Question

The decreasing order of energy for the electron represented by the following sets of quantum number is
(1) n=4,l=0,m=0,s=+12
(2) n=3,l=2,m=+1,s=−12
(3) n=3,l=2,m=−1,s=+12
(4) n=3,l=1,m=0,s=+12
(5) n=5,l=2,m=+1,s=−12

A
5 > 3 > 2 > 4 > 1
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B
5 > 3 = 2 > 1 > 4
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C
5 > 2 > 3 > 4 > 1
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D
5 > 3 = 2 > 4 > 1
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Solution

The correct option is B 5 > 3 = 2 > 1 > 4
The relative order of energies of various orbitals in multi electron atom can be predicted with the help of (n + l) rule
(1) n + l = 4 + 0 = 4 = 4s
(2) n + l = 3 + 2 = 5 = 3d
(3) n + l = 3 + 2 = 5 = 3d
(4) n + l = 3 + 1 = 4 = 3p
(5) n + l = 5 + 2 = 7 = 3d
For an orbital, the lower the value of (n + l), the lower the energy. If (n + l) is same, the orbital with lower value of n will have lower energy.

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