PYQ Vault

Playbook

Structure of Atom

70 q - 1.42/paper - 1% HARD, and halved in 2025. Bohr scaling, E = hc/λ and quantum numbers.

Questions in the bank
70
q/paper (2024–25 papers)
1.42
Tagged HARD
1%
Subtopics
6

Strand: Calculate

When you’ll see it

A Bohr orbit, an electron's wavelength or energy, a spectral line, quantum numbers, or isotopes and isoelectronic species.

How this chapter is tested

70 q at 1.42 a paper, 1% HARD — and it HALVED in 2025, from 2.00 a paper across 2023-24 to 1.00. Still set every year; give it fewer hours than 2023-24 papers suggest.

Bohr's model (18 q, never HARD) is scaling: rₙ = 0.529n²/Z Å, Eₙ = −13.6Z²/n² eV. Radiation is E = hν = hc/λ. The quantum-number rules decide which set is allowed, and the particles page counts protons, neutrons and electrons.

The sub-skills

The distinct skills inside the chapter, in the order to learn them.

  • Bohr scaling

    r = 0.529 n²/Z Å, E = −13.6 Z²/n² eV, v ∝ Z/n.

  • Radiation

    E = hν = hc/λ; de Broglie λ = h/mv.

  • Quantum numbers

    l runs 0 to n − 1, m from −l to +l; a subshell holds 2(2l + 1) electrons.

Traps to expect

Distractor shapes this chapter reuses. The Traps page covers the patterns that cut across chapters.

  • An impossible quantum-number set

    l must be less than n: (n = 2, l = 2) cannot exist. Such a set is planted among allowed ones.

  • Isoelectronic means same electrons

    Na⁺, Mg²⁺ and F⁻ each have 10 electrons — isoelectronic, though their protons differ.

Learn it before you drill it

This chapter has full teaching notes — foundations, worked examples, self-checks and a per-subtopic mastery checkpoint. Read the notes once, then drill subtopic by subtopic below.

Structure of Atom notes

Drill every structure of atom question

70 questions from the bank, scoped to 6 bundled subtopics.

Drill one subtopic at a time

The 6 subtopics this playbook covers, in catalog order.

  • Subatomic Particles, Isotopes, Isobars and Isoelectronic SpeciesDrill
  • Electronic Configuration and Pauli/Hund RulesDrill
  • Electromagnetic Radiation and Wave PropertiesDrill
  • Bohr's Atomic ModelDrill
  • Quantum Mechanical Model, de Broglie, Heisenberg and Quantum NumbersDrill
  • Hydrogen Spectrum and Rydberg EquationDrill

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