Chemistry · Structure of Atom

JEE Main 2026 — 23 January, Morning Shift — Question 58

Given:

(A) n=5, mℓ=−1n=5,\ m_\ell=-1

(B) n=3, ℓ=2, mℓ=−1, ms=+12n=3,\ \ell=2,\ m_\ell=-1,\ m_s=+\frac{1}{2}

The maximum number of electrons in an atom that can have the above quantum numbers respectively are:

  1. Option A:

    6 and 1

  2. Option B:

    4 and 1

  3. Option C:

    2 and 4

  4. Option D:

    8 and 1

    Correct

Answer: D

Step-by-step solution

(A)

For n=5n=5 and mℓ=−1m_\ell=-1, the value ℓ\ell must allow mℓ=−1m_\ell=-1.

Possible ℓ\ell values are ℓ=1,2,3,4\ell=1,2,3,4.

Each allowed subshell has one orbital with mℓ=−1m_\ell=-1.

Each orbital can hold 2 electrons.

Total electrons =4×2=8= 4 \times 2 = 8

(B)

All four quantum numbers are fixed, thus we have

n=3, ℓ=2, mℓ=−1, ms=+12n=3,\ \ell=2,\ m_\ell=-1,\ m_s=+\frac{1}{2}

This specifies a unique electron.

Maximum number of electrons = 1

Thus, the correct answer is option D.

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Subject
Chemistry
Chapter
Structure of Atom
Topic
Quantum Numbers and Sommerfeld
Given: (A) n=5,\ m ell=-1 (B) n=3,\ ell=2,\ m ell=-1,\ m s=+1/2 The… | JEE Main 2026 PYQ with Solution · DhiX AI