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IEMJEE Chemistry preparation: Quantum-number constraints — practice worksheet with answers

Quantum numbers describe allowed states rather than arbitrary independent integers. This practice worksheet with answers develops that specific skill using independently written teaching material.

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How to use this worksheet

This independent worksheet checks quantum-number constraints with a new problem, an explanation task and an interleaved related skill. It is not an official IEM question paper, a difficulty forecast or a prescribed timed examination.

Write an attempt first, then compare your method with the visible answers. Record whether a miss came from interpretation, a missing concept, execution or a condition you overlooked.

Question 1: apply the topic

Can n=2,l=2 describe an allowed atomic orbital?

Answer and checking point

No. l cannot exceed n−1=1.

Check atom and charge bookkeeping, units, signs and the identity of the species to which a statement applies. For an organic transformation, retain the substrate and conditions. A familiar reagent or periodic trend is not enough to prove every proposed product or comparison.

Question 2: diagnose an approach

Explain why the following warning matters and identify the correction it calls for: Assigning any integer to l without its n-dependent limit creates an impossible state label.

Model checkpoint: Quantum numbers describe allowed states rather than arbitrary independent integers. Governing rule: For principal n, l runs 0 to n−1; m_l runs −l to +l; m_s is ±1/2.

Question 3: transfer to addition across alkenes

What is the basic product of adding Br₂ across ethene under ordinary addition conditions?

Answer: 1,2-dibromoethane.

This is an interleaved related-skill task, not a claim that the two topics have identical methods. Explain which idea changes when switching from the main topic to this one.

Review the attempt

Separate correct answers reached with a justified method from lucky guesses. Rework missed steps without looking at the answer, then use a fresh problem from an appropriate primary textbook or official paper. Do not use a small worksheet result as an admission cutoff, rank or readiness guarantee.

Official sources and verification

Sources checked on 26 October 2026. A source’s date, programme and campus limit which claims it supports. Official pages may change after review.

  1. UEM — IEMJEE examination information

    Historical examination pattern; verify the current cycle on the central portal.

  2. NTA — explicitly labelled JEE Main 2026 syllabus

    Historical PCM syllabus reference. Lessons and exercises are independently authored, not official IEMJEE papers or verified 2027 paper predictions.

  3. NCERT — official textbook catalogue

    Primary textbook reference for checking school-level concepts. This directory does not certify the independent lesson or establish IEM examination weightage.

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