Integration
December 8, 2016(1) $∫ x^n dx = {x^{n+1}}/{n + 1} + c$ (2) $∫ 1/x dx = log|x| + c$ (3) $∫a^x... View Article
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Derivatives
December 8, 2016(1) $d/{dx} x^n = n x^{n-1}$ (2) $d/{dx}$ k (constant) = 0 (3) $d/{dx}$ sinx = cosx (4) $d/{dx}$ cosx... View Article
Trigonometric Functions
December 8, 2016sin2θ = 2 sinθ cosθ $cos2θ = cos^2 θ – sin^2 θ$ $cos2θ = 1 – 2 sin^2 θ$ $cos2θ... View Article
Electrostatics
December 8, 2016(1) Gauss’s Theorem: TNEI = Σq (2) No. of tubes of induction: ${q}/{kε_o}$ (3) NEI = ε E TNEI over... View Article
Current Electricity
December 8, 2016(1) Kirchoff’s Law: (i) ΣI = 0 (ii) ΣIR + ΣE = 0 (2) Wheatstone’s network: Balanced condition, ${R_1}/{R_2} =... View Article
Magnetic Effect of Electric Current
December 8, 2016(1) Ampere’s Law: $∮ \ov B . \ov{dl} = μ_o I$ (2) Straight conductor: ${μ_o}/{4π} {2I}/{r}$ (3) Solenoid: (i) B... View Article
Wave Theory of Light
December 8, 2016(1) c = λ v (2) Wave number: $1/λ = v/c$ (3) $_1 μ_2 = {μ_1}/{μ_2} = {sin i}/{sin r}$... View Article
Interference and Diffraction
December 8, 2016(1) Constructive interference: Phase difference: 2nπ Path difference (∆): nλ (2) Destructive interference: Phase difference: (2m – 1)π Path difference... View Article
Electrons and Photons
December 8, 2016(1) c = vλ (2) E = hυ = hc/λ (3) (i) $KE_{max} = hυ – ϕ_o $ ϕ ->... View Article
Atoms, Molecules and Nuclei
December 8, 2016(1) Bohr’s Postulate: (i) ${mv^2}/{r} = 1/{4πε_o} {e^2}/{r^2}$ (ii) $mvr = {nh}/{2π}$ (iii) $E = E_h – E_p$ (2) $r... View Article