Chemistry · Structure of Atom

JEE Main 2025 — 23 January, Evening Shift — Question 34

Given below are two statements, one is labelled as Statement I and the other is labelled as Statement II.

Statement (I) : For a given shell, the total number of allowed orbitals is given by n2\mathrm{n}^{2}.

Statement (II) : For any subshell, the spatial orientation of the orbitals is given by −l-l to +l+l values including zero.

In the light of the above statements, choose the correct answer from the options given below:

  1. Option A:

    Statement I is true but Statement II is false

  2. Option B:

    Statement I is false but Statement II is true

  3. Option C:

    Both Statement I and Statement II are true

    Correct
  4. Option D:

    Both Statement I and Statement II are false

Answer: C

Step-by-step solution

For shell nn, allowed values of ℓ\ell are ℓ=0   to   n−1\ell=0 \text{\; to\; } n-1

Each subshell has (2ℓ+1)(2\ell+1) orbitals.

Total orbitals =1+3+5+⋯+(2n−1)=n2= 1+3+5+\cdots+(2n-1)=n^2

Thus, Statement I is true.

Magnetic quantum number, mℓ=−ℓ   to   +ℓm_\ell=-\ell \text{ \;to \;} +\ell

These values represent different spatial orientations of orbitals in space.

Thus, Statement II is true.

Thus, both Statement I and Statement II are true.

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Chemistry
Chapter
Structure of Atom
Topic
Quantum Numbers and Sommerfeld
Given below are two statements, one is labelled as Statement I and… | JEE Main 2025 PYQ with Solution · DhiX AI