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Chemistry · Structure of Atom

NEET (UG) 2023 — Question 64

The relation between nm,(nm=n_{m},\left(n_{m}=\right. the number of permissible values of magnetic quantum number (m)) for a given value of azimuthal quantum number (l)(l), is

  1. Option A:

    l=2nm+1l=2 \mathrm{n}_{\mathrm{m}}+1

  2. Option B:

    nm=2l2+1\mathrm{n}_{\mathrm{m}}=2 l^{2}+1

  3. Option C:

    nm=l+2\mathrm{n}_{\mathrm{m}}=l+2

  4. Option D:

    l=nm−12l=\frac{\mathrm{n}_{\mathrm{m}}-1}{2}

    Correct

Answer: D

Step-by-step solution

For a given azimuthal quantum number ll, the magnetic quantum number mm can take integer values from −l-l to +l+l. The number of permissible values of mm, denoted nmn_m, is thus nm=2l+1n_m = 2l + 1. Rearranging the equation gives l=nm−12l = \frac{n_m - 1}{2}. Hence, the correct relation is l=nm−12l = \frac{n_m - 1}{2}, which corresponds to option D.

Answer key and solution verified before publishing.

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Exam
NEET (UG) 2023
Paper
2023 paper
Subject
Chemistry
Chapter
Structure of Atom
Topic
Quantum Numbers and Sommerfeld

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