Prep Arena Formula Bank & Weightages Physics • Chemistry • Maths
KCET High-Yield Study Materials
Curated chapter-wise formula cheat sheets and historical mark weightage distributions across Physics, Chemistry, and Mathematics to maximize your KCET percentile.
Official KEA Question Papers & Previous Cutoff PDFs
Physics High-Yield Formula Bank
Electrostatics & Current Electricity
12-14%- Coulomb's Law: F = (1 / 4πε₀) · (q₁q₂ / r²)
- Electric Field of Dipole on Axis: E = (1 / 4πε₀) · (2p / r³)
- Capacitance of Parallel Plate: C = ε₀A / d (with dielectric: C = Kε₀A / d)
- Drift Velocity: v_d = eEτ / m ; Current: I = n·e·A·v_d
- Ohm's Law: V = IR ; Resistance temperature dependence: R_T = R₀(1 + αΔT)
Mechanics & Gravitation
15-18%- Kinematics: v = u + at ; s = ut + ½at² ; v² = u² + 2as
- Escape Velocity: v_e = √(2gR) ≈ 11.2 km/s
- Orbital Velocity: v_o = √(gR) ≈ 7.9 km/s
- Moment of Inertia (Disk): I = ½MR² ; (Solid Sphere): I = (2/5)MR²
- Centripetal Force: F_c = mv² / r = mω²r
Modern Physics & Optics
16-20%- Lens Formula: 1/f = 1/v - 1/u ; Power: P = 1/f(m) Dioptre
- Photoelectric Equation: hν = Φ + KE_max = hν₀ + eV₀
- de Broglie Wavelength: λ = h / p = h / √(2mE) = 1.227 / √V nm (electron)
- Radioactive Decay Law: N(t) = N₀e^(-λt) ; Half-life: T_{1/2} = 0.693 / λ
- Bohr Radius: r_n = 0.529 · (n² / Z) Å ; Energy: E_n = -13.6 · (Z² / n²) eV
Chemistry High-Yield Formula Bank
Physical Chemistry
30-33%- Molarity (M): moles of solute / volume of solution (L)
- Raoult's Law: ΔP / P° = X_solute
- Osmotic Pressure: π = CRT = (n/V)RT
- Nernst Equation: E_cell = E°_cell - (0.0591 / n) log Q at 298 K
- Arrhenius Equation: k = A · e^(-E_a / RT)
Inorganic Chemistry
32-35%- Coordination Compounds: Crystal Field Splitting Δ_o vs Δ_t (Δ_t = 4/9 Δ_o)
- Magnetic Moment: μ = √(n(n+2)) BM (n = number of unpaired electrons)
- p-Block Oxidation States: Group 13 (+3, +1), Group 14 (+4, +2) due to Inert Pair Effect
- d-Block Stability: Cr (3d⁵ 4s¹), Cu (3d¹⁰ 4s¹) half and fully filled subshell stabilization
Organic Chemistry
35-38%- Markovnikov's Rule vs Anti-Markovnikov (Peroxide Effect on HBr addition)
- Aldol Condensation: α-hydrogen containing aldehydes/ketones + dil. NaOH → β-hydroxy aldehyde
- Cannizzaro Reaction: Non α-hydrogen aldehydes (HCHO, PhCHO) + conc. KOH → Alcohol + Carboxylate
- Lucas Test: 3° alcohol (immediate turbidity), 2° (5 mins), 1° (no reaction at room temp)
Mathematics High-Yield Formula Bank
Calculus (Differentiation & Integration)
35-40%- Product Rule: (uv)' = u'v + uv' ; Quotient Rule: (u/v)' = (u'v - uv') / v²
- Standard Limits: lim_{x→0} (sin x / x) = 1 ; lim_{x→0} ((e^x - 1) / x) = 1
- Standard Integral: ∫ (1 / (a² + x²)) dx = (1/a) arctan(x/a) + C
- Definite Integral Property: ∫₀ᵃ f(x) dx = ∫₀ᵃ f(a - x) dx
- Area Under Curve: A = ∫ₐᵇ |f(x) - g(x)| dx
Vectors & 3D Geometry
15-18%- Dot Product: a · b = |a||b| cos θ ; Cross Product: |a × b| = |a||b| sin θ
- Shortest Distance Between Skew Lines: d = |(a₂ - a₁) · (b₁ × b₂)| / |b₁ × b₂|
- Equation of Plane: a(x - x₁) + b(y - y₁) + c(z - z₁) = 0
- Distance from Point to Plane: d = |ax₀ + by₀ + cz₀ + d| / √(a² + b² + c²)
Matrices, Determinants & Probability
18-22%- Inverse Matrix: A⁻¹ = (1 / |A|) · adj(A)
- Determinant Properties: |kA| = kⁿ|A| (for n×n matrix) ; |adj(A)| = |A|ⁿ⁻¹
- Bayes' Theorem: P(A_i | B) = [P(A_i)P(B | A_i)] / [∑ P(A_j)P(B | A_j)]
- Binomial Distribution: P(X = r) = ⁿC_r · p^r · qⁿ⁻ʳ (Mean = np, Variance = npq)