Essential physics formulas for CBSE Class 10 Science. Covers optics, electricity, magnetism, and human eye. All SI units.
1/f = 1/u + 1/vf = focal length, u = object distance, v = image distance. Sign convention: real (+), virtual (-)m = -v/u = h'/hh = object height, h' = image height. m negative = inverted imagef = R/2R = radius of curvature. Concave mirror f > 0, convex f < 01/f = 1/u + 1/vSame as mirrors. Convex lens f > 0, concave f < 0m = v/u = h'/hFor lenses, m positive = erect, m negative = invertedP = 1/f (in metres)P in diopters (D). 1 D = 1 m⁻¹1/f = (n-1)[1/R₁ - 1/R₂]n = refractive index, R₁ & R₂ = radii of curvatureV = IRV = potential difference (V), I = current (A), R = resistance (Ω)R = ρL/Aρ = resistivity (Ω⋅m), L = length (m), A = cross-section (m²)Rₜₒₜₐₗ = R₁ + R₂ + R₃Same current through all, voltages add1/Rₜₒₜₐₗ = 1/R₁ + 1/R₂ + 1/R₃Same voltage across all, currents addP = VI = I²R = V²/RP in watts (W). Thermal energy = Pt = VItH = I²RtH = heat energy (J), t = time (s)B = μ₀I/(2πr)B in tesla (T), r = distance from wire, μ₀ = 4π×10⁻⁷ T⋅m/AB = μ₀nI/2n = number of turns per unit length, I = currentF = BIL sin θB = magnetic field (T), L = length of wire (m), θ = angle with BF = BIL (perpendicular to both B and I)Thumb = force, Index = field (→), Middle = current (I)P = Pf - PnPower change when eye shifts from far to near point. Pf = far, Pn = nearNear point ≈ 25 cm (for normal eye)Far point ≈ ∞. Both shift with age (presbyopia)P_correction = P_eye_defect (opposite sign)Myopia → concave, hyperopia → convex, presbyopia → bifocalsn₁ sin θ₁ = n₂ sin θ₂n = refractive index, θ = angle of incidence/refractionsin θc = n₂/n₁ (when n₁ > n₂)θc = critical angle. Total internal reflection occurs at θ > θcn = c/vc = speed of light in vacuum (3×10⁸ m/s), v = speed in mediumv = s/t (average), v = ds/dt (instantaneous)s = distance (m), t = time (s)a = (v - u)/tu = initial velocity, v = final velocityv = u + atLinear motion with constant accelerations = ut + ½at²Displacement, u = initial velocityF = maF = force (N), m = mass (kg), a = acceleration (m/s²)W = Fs cos θF = force, s = displacement, θ = angle between F and sEk = ½mv²m = mass, v = velocityEp = mghm = mass, g = 10 m/s² (or 9.8), h = height