CBSE · Class 10 · Science

Science Formula Sheet

24 formulas across 4 chapters — with variables explained and exam tips where needed.

Ch 10Light — Reflection and Refraction(9 formulas)

Mirror formula

1/v + 1/u = 1/f

v = image distance, u = object distance, f = focal length

💡

Use Cartesian sign convention: distances measured from pole, +ve in direction of incident light

Focal length and radius

f = R/2

R = radius of curvature

Magnification (mirror)

m = −v/u = h'/h

h' = image height, h = object height

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m negative → real inverted image; m positive → virtual erect image

Lens formula

1/v − 1/u = 1/f

Magnification (lens)

m = v/u = h'/h

Lens maker's formula (simplified)

1/f = (n−1)[1/R₁ − 1/R₂]

n = refractive index

Refractive index

n = c/v = sin i / sin r

c = speed in vacuum, v = speed in medium, i = angle of incidence, r = angle of refraction

Power of lens

D (dioptre)

P = 1/f

f in metres

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Convex lens: +ve power; Concave lens: −ve power

Combined power

P = P₁ + P₂ + P₃ + ...

Ch 12Electricity(7 formulas)

Ohm's Law

V = IR

V = potential difference (V), I = current (A), R = resistance (Ω)

Resistance

R = ρL/A

ρ = resistivity, L = length, A = cross-section area

Resistors in series

R_total = R₁ + R₂ + R₃

Resistors in parallel

1/R_total = 1/R₁ + 1/R₂ + 1/R₃

Electric power

W (watt)

P = VI = I²R = V²/R

Electrical energy

J or kWh

E = Pt = VIt

💡

1 kWh = 3.6 × 10⁶ J = 1 unit on electricity bill

Joule's law of heating

J

H = I²Rt

Ch 1Chemical Reactions and Equations(4 formulas)

Law of conservation of mass

Total mass of reactants = Total mass of products

Combination reaction

A + B → AB

Decomposition reaction

AB → A + B

Double displacement

AB + CD → AD + CB

Ch 2Acids, Bases and Salts(4 formulas)

pH scale

pH < 7 = acidic, pH = 7 = neutral, pH > 7 = basic

Neutralisation

Acid + Base → Salt + Water

Action of acid on metal

Metal + Acid → Salt + Hydrogen gas

Action of base on non-metal oxide

Base + Non-metal oxide → Salt + Water

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