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# The Quantum Numbers of Six Electrons Are Given Below. Arrange Them in Order Of Increasing Energies. If Any of These Combination(S) Has/Have the Same Energy Lists: - CBSE (Science) Class 11 - Chemistry

ConceptQuantum Mechanical Model of the Atom - Orbitals and Quantum Numbers

#### Question

The quantum numbers of six electrons are given below. Arrange them in order of increasing energies. If any of these combination(s) has/have the same energy lists:

1. n = 4, l = 2, ml = –2 , ms = –1/2

2. n = 3, l = 2, ml= 1 , ms = +1/2

3. n = 4, l = 1, ml = 0 , ms = +1/2

4. n = 3, l = 2, ml = –2 , ms = –1/2

5. n = 3, l = 1, ml = –1 , ms= +1/2

6. n = 4, l = 1, ml = 0 , ms = +1/2

#### Solution 1

For = 4 and l = 2, the orbital occupied is 4d.

For = 3 and l = 2, the orbital occupied is 3d.

For = 4 and l = 1, the orbital occupied is 4p.

Hence, the six electrons i.e., 1, 2, 3, 4, 5, and 6 are present in the 4d, 3d, 4p, 3d, 3p, and 4p orbitals respectively.

Therefore, the increasing order of energies is 5(3p) < 2(3d) = 4(3d) < 3(4p) = 6(4p) < 1 (4d).

#### Solution 2

The orbitals occupied by the electrons are:

(1) 4d

(2) 3d

(3) 4p

(4) 3d

(5) 3p

(6) 4p

Same orbitals will have same energy and higher the value of (n+l) higher is the energy,
Their energies will be in order: (5)<(2)=(4)<(6)=(3)<(1)

Is there an error in this question or solution?

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Solution The Quantum Numbers of Six Electrons Are Given Below. Arrange Them in Order Of Increasing Energies. If Any of These Combination(S) Has/Have the Same Energy Lists: Concept: Quantum Mechanical Model of the Atom - Orbitals and Quantum Numbers.
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