Overview Summary: Visual Representation

Topic Architecture (Visual)

TIER 1 — Core Foundations

Wave Theory → Quantum Theory → Atomic Model → Electronic Config
(Planck 1900)  (Einstein 1905)  (Bohr 1913)    (Pauli/Hund 1925)

TIER 2 — Key Equations and Their Uses

Equation	What It Predicts	NEET Frequency
E = hν	Photon energy from frequency	Very high
KE = h(ν−ν_{0})	Photoelectron energy	High
1/λ = R_H(1/n_{1}^{2}−1/n_{2}^{2})	Spectral line wavelengths	Very high
E_n = −13.6 $Z^{2}$ / $n^{2}$	Orbital energies, transitions	Very high
r_n = 0.529 $n^{2}$ /Z	Orbital radii	Moderate
λ = h/mv	de Broglie wavelength	Moderate
$\Delta x$ · $\Delta p$ ≥ h/4π	Position-momentum uncertainty	Moderate
Nodes = n−l−1	Radial nodes in orbitals	Moderate
n(n−1)/2	Spectral lines from level n	High

TIER 3 — Decision Flow for NEET Problems

Is it H or H-like?
    YES → Use Bohr model: E_n, r_n, v_n
    NO → Multi-electron: use quantum numbers + filling rules
         ↓
Is it a spectral question?
    YES → Rydberg formula; identify series by n_{1}
    NO → Quantum number validity or configuration
         ↓
Is it photoelectric?
    YES → KE = h(ν−ν_{0}); check if ν > ν_{0} first

TIER 4 — Must-Memorize Items

Five spectral series and their regions (Lyman UV, Balmer visible, rest IR)
Bohr model formulas with all constants
Cr and Cu anomalous configurations
Quantum number validity (l < n; |mₗ| ≤ l)
Node formulas (total = n−1; angular = l; radial = n−l−1)
n(n−1)/2 for spectral lines
Constants: h, c, R_H, mₑ

TIER 5 — Common NEET Traps

Spectral lines = n(n−1)/2 NOT n or $n^{2}$
KE in photoelectric depends on frequency NOT intensity
Cr: 3 $d^{5}$ 4 $s^{1}$ not 3 $d^{4}$ 4 $s^{2}$ (half-filled stability)
Cu: 3 $d^{10}$ 4 $s^{1}$ not 3 $d^{9}$ 4 $s^{2}$ (full-filled stability)
Quantum number: l cannot equal n