⚡ Physics — Class 12

CBSE Physics Class 12:
Formulas, Flashcards & AI Tools

Complete formula reference organised by board weightage, plus AI tools that generate chapter summaries and flashcards from your NCERT Physics notes.

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Where the marks actually are

Chapter / UnitTypical marksPriority
Electrostatics & Capacitance8–9 marksHigh
Current Electricity7–8 marksHigh
Magnetism & Moving Charges8 marksHigh
EMI & AC Circuits8 marksHigh
Ray Optics & Wave Optics10 marksHigh
Modern Physics (Atoms, Nuclei, Semiconductors)10 marksHigh
Dual Nature (Photoelectric effect)4–5 marksMedium
Communication Systems2–3 marksLower

Weightage varies by year. Electrostatics, Optics, and Modern Physics are consistently the highest-yield chapters for boards.

High-weightage formulas by chapter

Electrostatics & Capacitance

  • F = kq₁q₂/r² (k = 9×10⁹)
  • E = kq/r² | V = kq/r
  • C = Q/V | C₀ = ε₀A/d
  • With dielectric: C = kε₀A/d
  • Energy: U = ½CV² = Q²/2C
  • Gauss: Φ = q_enc/ε₀

Current Electricity

  • V = IR | R = ρL/A
  • Drift: I = nAev_d
  • Power: P = VI = I²R = V²/R
  • Series: R_eq = ΣR
  • Parallel: 1/R_eq = Σ(1/R)
  • KCL: ΣI = 0 | KVL: ΣV = 0

Magnetism & EMI / AC

  • F = qvB sinθ | F = BIL sinθ
  • Solenoid: B = μ₀nI
  • Faraday: ε = −NdΦ/dt
  • X_L = ωL | X_C = 1/ωC
  • Z = √(R² + (X_L−X_C)²)
  • Resonance: f_r = 1/2π√LC

Optics

  • Mirror: 1/v + 1/u = 1/f
  • Lens: 1/v − 1/u = 1/f
  • Snell: n₁sinθ₁ = n₂sinθ₂
  • Young's: β = λD/d
  • Power P = 1/f (dioptres)
  • Critical: sinC = n₂/n₁

Modern Physics

  • E = hν = hc/λ (h = 6.63×10⁻³⁴)
  • KE_max = hν − φ
  • de Broglie: λ = h/p
  • Bohr: E_n = −13.6/n² eV
  • r_n = 0.529n² Å
  • E = mc² | N = N₀e^(−λt)

Most-Forgotten Facts

  • dim(ε₀) = C²N⁻¹m⁻² = F/m
  • At resonance: Z = R (minimum)
  • Concave mirror: f < 0
  • RMS = peak / √2
  • TIR requires n₁ > n₂ and θ > θ_c
  • EFL: sign conventions from pole

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How to maximise marks in Physics

For derivations (5-mark questions)

Always write: Given → Diagram (where applicable) → Formula statement → Derivation steps → Final result boxed. Boards give method marks at each step — a wrong final answer can still score 3–4 marks.

Sign convention errors (most common loss)

All distances in the New Cartesian convention are measured from the pole (mirrors) or optical centre (lenses). Incident light travels left to right by convention. Distances in the direction of light are positive.

Formula memory trick for AC circuits

Draw a right triangle: R on the base, (X_L − X_C) on the height, Z as hypotenuse. Resonance = when the height = 0, leaving Z = R. Power factor cosφ = R/Z.

Modern Physics pattern

Boards ask Bohr model, photoelectric effect, and de Broglie almost every year. These three together are ~8 marks. Know: E = hν and KE_max = hν − φ and λ = h/p cold.