Chemistry · Structure of Atom

JEE Main 2024 — 9 April, Shift 1 — Question 71

Compare the energies of following sets of quantum numbers for a multielectron system.

(A) n=4,l=1\mathrm{n}=4,l=1

(B) n=4,l=2\mathrm{n}=4,l=2

(C) n=3,l=1\mathrm{n}=3,l=1

(D) n=3,l=2\mathrm{n}=3,l=2

(E) n=4,l=0\mathrm{n}=4,l=0

Choose the correct answer from the options given below :

  1. Option A:

    (B) > (A) > (C) > (E) > (D)

  2. Option B:

    (E) > (C) < (D) < (A) < (B)

  3. Option C:

    (E) > (C) > (A) > (D) > (B)

  4. Option D:

    (C) < (E) < (D) < (A) < (B)

    Correct

Answer: D

Step-by-step solution

Energy level can be determined by comparing (n+ℓ)(\mathrm{n}+\ell) values

(A) n=4,ℓ=1⇒(n+ℓ)=5\mathrm{n}=4, \ell=1 \Rightarrow(\mathrm{n}+\ell)=5

(B) n=4,ℓ=2⇒(n+ℓ)=6\mathrm{n}=4, \ell=2 \Rightarrow(\mathrm{n}+\ell)=6

(C) n=3,ℓ=1⇒(n+ℓ)=4\mathrm{n}=3, \ell=1 \Rightarrow(\mathrm{n}+\ell)=4

(D) n=3,ℓ=2⇒(n+ℓ)=5\mathrm{n}=3, \ell=2 \Rightarrow(\mathrm{n}+\ell)=5

(E) n=4,ℓ=0⇒(n+ℓ)=4\mathrm{n}=4, \ell=0 \Rightarrow(\mathrm{n}+\ell)=4

For same value of (n+ℓ(\mathrm{n}+\ell ), orbital having higher value of n , will have more energy.

Thus, the overall order is C<E<D<A<B\mathrm{C < E < D < A < B}.

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Chemistry
Chapter
Structure of Atom
Topic
Quantum Numbers and Sommerfeld
Compare the energies of following sets of quantum numbers for a… | JEE Main 2024 PYQ with Solution · DhiX AI