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1. Fundamental Quantities

Physical Quantity	Symbol	SI Unit	Dimensions
Length	l	metre (m)	[L]
Mass	m	kilogram (kg)	[M]
Time	t	second (s)	[T]
Electric Current	I	ampere (A)	[I]
Temperature	T	kelvin (K)	[Θ]
Amount of Substance	n	mole (mol)	—
Luminous Intensity	Iv	candela (cd)	—

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2. Mechanics

Motion

Quantity	Symbol	SI Unit	Dimensions
Distance/Displacement	s, x	metre (m)	[L]
Speed/Velocity	v	m s⁻¹	[LT⁻¹]
Acceleration	a	m s⁻²	[LT⁻²]
Momentum	p	kg m s⁻¹	[MLT⁻¹]
Impulse	J	N s	[MLT⁻¹]

Velocity Formula

$v = \frac{s}{t}$v=ts​

Acceleration Formula

$a = \frac{v-u}{t}$a=tv−u​

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Force & Laws of Motion

Quantity	Symbol	SI Unit	Dimensions
Force	F	newton (N)	[MLT⁻²]
Weight	W	newton (N)	[MLT⁻²]
Torque	τ	N m	[ML²T⁻²]
Frictional Force	f	newton (N)	[MLT⁻²]

Newton’s Second Law

$F = ma$F=ma

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Work, Power & Energy

Quantity	Symbol	SI Unit	Dimensions
Work	W	joule (J)	[ML²T⁻²]
Energy	E	joule (J)	[ML²T⁻²]
Kinetic Energy	KE	joule (J)	[ML²T⁻²]
Potential Energy	PE	joule (J)	[ML²T⁻²]
Power	P	watt (W)	[ML²T⁻³]

Kinetic Energy

$KE = \frac{1}{2}mv^2$KE=21​mv2

$m_1$m1​

$m_2$m2​

$v$vm1m2

Power

$P = \frac{W}{t}$P=tW​

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Gravitation

Quantity	Symbol	SI Unit	Dimensions
Gravitational Constant	G	N m² kg⁻²	[M⁻¹L³T⁻²]
Acceleration due to Gravity	g	m s⁻²	[LT⁻²]
Gravitational Potential	V	J kg⁻¹	[L²T⁻²]

Law of Gravitation

$F = G\frac{m_1m_2}{r^2}$F=Gr2m1​m2​​

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3. Properties of Matter

Quantity	Symbol	SI Unit	Dimensions
Density	ρ	kg m⁻³	[ML⁻³]
Pressure	P	pascal (Pa)	[ML⁻¹T⁻²]
Stress	σ	pascal (Pa)	[ML⁻¹T⁻²]
Strain	ε	No unit	[M⁰L⁰T⁰]
Young’s Modulus	Y	pascal (Pa)	[ML⁻¹T⁻²]
Bulk Modulus	K	pascal (Pa)	[ML⁻¹T⁻²]

Pressure Formula

$P = \frac{F}{A}$P=AF​

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4. Fluid Mechanics

Quantity	Symbol	SI Unit	Dimensions
Surface Tension	S	N m⁻¹	[MT⁻²]
Coefficient of Viscosity	η	Pa s	[ML⁻¹T⁻¹]
Streamline Velocity	v	m s⁻¹	[LT⁻¹]

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5. Oscillations & Waves

Quantity	Symbol	SI Unit	Dimensions
Time Period	T	second (s)	[T]
Frequency	f	hertz (Hz)	[T⁻¹]
Angular Frequency	ω	rad s⁻¹	[T⁻¹]
Wavelength	λ	metre (m)	[L]
Wave Number	k	m⁻¹	[L⁻¹]

Wave Speed

$v = f\lambda$v=fλ

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6. Heat & Thermodynamics

Quantity	Symbol	SI Unit	Dimensions
Heat	Q	joule (J)	[ML²T⁻²]
Temperature	T	kelvin (K)	[Θ]
Specific Heat Capacity	c	J kg⁻¹ K⁻¹	[L²T⁻²Θ⁻¹]
Latent Heat	L	J kg⁻¹	[L²T⁻²]
Entropy	S	J K⁻¹	[ML²T⁻²Θ⁻¹]
Gas Constant	R	J mol⁻¹ K⁻¹	[ML²T⁻²Θ⁻¹]

Ideal Gas Equation

$PV = nRT$PV=nRT

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7. Electrostatics

Quantity	Symbol	SI Unit	Dimensions
Electric Charge	q	coulomb (C)	[TI]
Electric Field	E	N C⁻¹	[MLT⁻³I⁻¹]
Electric Potential	V	volt (V)	[ML²T⁻³I⁻¹]
Capacitance	C	farad (F)	[M⁻¹L⁻²T⁴I²]
Electric Flux	ΦE	N m² C⁻¹	[ML³T⁻³I⁻¹]

Coulomb’s Law

$F = k\frac{q_1q_2}{r^2}$F=kr2q1​q2​​

$F = k\frac{q_1 q_2}{r^2} \approx -5.06$F=kr2q1​q2​​≈−5.06+-

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8. Current Electricity

Quantity	Symbol	SI Unit	Dimensions
Current	I	ampere (A)	[I]
Resistance	R	ohm (Ω)	[ML²T⁻³I⁻²]
Resistivity	ρ	ohm metre (Ω m)	[ML³T⁻³I⁻²]
Conductivity	σ	S m⁻¹	[M⁻¹L⁻³T³I²]
EMF	ε	volt (V)	[ML²T⁻³I⁻¹]

Ohm’s Law

$V = IR$V=IR

$I = \frac{V_s}{R} = \frac{12.0\,\mathrm{V}}{6.0\,\Omega} = 2.00\,\mathrm{A}$I=RVs​​=6.0Ω12.0V​=2.00AVs = 12.0 V+-R = 6.0 ΩI = 2.00 A

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9. Magnetism & Electromagnetic Induction

Quantity	Symbol	SI Unit	Dimensions
Magnetic Field	B	tesla (T)	[MT⁻²I⁻¹]
Magnetic Flux	ΦB	weber (Wb)	[ML²T⁻²I⁻¹]
Permeability	μ₀	H m⁻¹	[MLT⁻²I⁻²]
Inductance	L	henry (H)	[ML²T⁻²I⁻²]

Magnetic Force

$F = q(v \times B)$F=q(v×B)

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10. Optics

Quantity	Symbol	SI Unit	Dimensions
Focal Length	f	metre (m)	[L]
Power of Lens	P	dioptre (D)	[L⁻¹]
Refractive Index	μ	No unit	[M⁰L⁰T⁰]

Lens Formula

$\frac{1}{f}=\frac{1}{v}-\frac{1}{u}$f1​=v1​−u1​

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11. Modern Physics

Quantity	Symbol	SI Unit	Dimensions
Planck Constant	h	J s	[ML²T⁻¹]
Photon Energy	E	joule (J)	[ML²T⁻²]
Decay Constant	λ	s⁻¹	[T⁻¹]
Half Life	T½	second (s)	[T]
Binding Energy	BE	joule (J)	[ML²T⁻²]

Photon Energy

$E = h\nu$E=hν