The relation between nₘ (nₘ = the number of permissible values of magnetic quantum number (m)) for a

Q: What is NEET?

NEET is a competitive examination conducted in India. This question is from the 2023 NEET Chemistry paper.

Q: How can I prepare for NEET Chemistry?

To prepare for NEET Chemistry, practice previous year questions (PYQs), understand concepts thoroughly, and solve mock tests regularly. This 2023 question covers Structure of Atom topic.

Q: What is the difficulty level of this question?

This NEET 2023 Chemistry question has a easy difficulty level and is marked as an important question.

Q: Where can I find more NEET previous year questions?

You can find more NEET previous year questions on AspirantMitraa. Browse by subject, topic, year, and difficulty level to practice effectively.

Question

The relation between nₘ (nₘ = the number of permissible values of magnetic quantum number (m)) for a given value of azimuthal quantum number (l), is

Accepted Answer

Correct Answer: A — l = (nₘ – 1)/2Step-by-step Solution:The magnetic quantum number (m or mₗ) takes values from –l to +l including 0. So the total number of allowed values of m for a given l is: nₘ = 2l + 1.Rearranging to express l in terms of nₘ: 2l = nₘ – 1 → l = (nₘ – 1)/2.Verification with examples:s subshell: l = 0 → nₘ = 2(0)+1 = 1 → l = (1–1)/2 = 0 ✓p subshell: l = 1 → nₘ = 2(1)+1 = 3 → l = (3–1)/2 = 1 ✓d subshell: l = 2 → nₘ = 2(2)+1 = 5 → l = (5–1)/2 = 2 ✓f subshell: l = 3 → nₘ = 2(3)+1 = 7 → l = (7–1)/2 = 3 ✓Why other options are wrong:Option B (l = 2nₘ+1): Gives wrong values — e.g., for p (l=1): nₘ would = (1–1)/2 doesn't apply here.Option C (nₘ = 2l²+1): For l=1: nₘ = 2(1)+1 = 3 correctly, but for l=2: nₘ = 2(4)+1 = 9 (incorrect; should be 5).Option D (nₘ = l+2): For l=1: nₘ = 3 (correct), but for l=2: nₘ = 4 (incorrect; should be 5).Key Concepts:The four quantum numbers: n (principal), l (azimuthal/angular momentum), m or mₗ (magnetic), ms (spin).l ranges from 0 to (n–1). l = 0 (s), 1 (p), 2 (d), 3 (f).m ranges from –l to +l → total values = 2l + 1. This equals the number of orbitals in that subshell.Formula: nₘ = 2l + 1, equivalently l = (nₘ – 1)/2.

The relation between nₘ (nₘ = the number of permissible values of magnetic quantum number (m)) for a given value of azimuthal quantum number (l), is

Master NEET with Our Test Series

More Questions from Structure of Atom

Frequently Asked Questions

The relation between nₘ (nₘ = the number of permissible values of magnetic quantum number (m)) for a given value of azimuthal quantum number (l), is

Master NEET with Our Test Series

More Questions from Structure of Atom

Frequently Asked Questions