Dimensional formulas of 53 physical quantities

Every quantity is written in terms of mass [M], length [L], time [T], current [A] and temperature [K], the way NCERT Class 11 does it. Tap a quantity for its derivation, SI unit and the other quantities that share its dimensions.

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Motion

Quantity	Formula	SI unit
Velocity	[L T−1]	m/s
Acceleration	[L T−2]	m/s²

Laws of motion

Quantity	Formula	SI unit
Force	[M L T−2]	newton (N)
Momentum	[M L T−1]	kg·m/s
Impulse	[M L T−1]	N·s

Work, energy and power

Quantity	Formula	SI unit
Work	[M L2 T−2]	joule (J)
Kinetic energy	[M L2 T−2]	joule (J)
Power	[M L2 T−3]	watt (W)
Energy density	[M L−1 T−2]	J/m³

Fluids

Quantity	Formula	SI unit
Pressure	[M L−1 T−2]	pascal (Pa)
Density	[M L−3]	kg/m³
Surface tension	[M T−2]	N/m
Coefficient of viscosity	[M L−1 T−1]	Pa·s (poiseuille)
Kinematic viscosity	[L2 T−1]	m²/s

Oscillations and waves

Quantity	Formula	SI unit
Frequency	[T−1]	hertz (Hz)
Spring constant	[M T−2]	N/m
Intensity of a wave	[M T−3]	W/m²
Wave number	[L−1]	m⁻¹

Rotational motion

Quantity	Formula	SI unit
Angular velocity	[T−1]	rad/s
Angular acceleration	[T−2]	rad/s²
Torque	[M L2 T−2]	N·m
Moment of inertia	[M L2]	kg·m²
Angular momentum	[M L2 T−1]	kg·m²/s

Gravitation

Quantity	Formula	SI unit
Gravitational constant	[M−1 L3 T−2]	N·m²/kg²
Gravitational potential	[L2 T−2]	J/kg
Gravitational field intensity	[L T−2]	N/kg

Modern physics

Quantity	Formula	SI unit
Planck's constant	[M L2 T−1]	J·s

Elasticity

Quantity	Formula	SI unit
Young's modulus	[M L−1 T−2]	pascal (Pa)
Bulk modulus	[M L−1 T−2]	pascal (Pa)
Compressibility	[M−1 L T2]	Pa⁻¹
Strain	[M0 L0 T0]	no unit

Electrostatics

Quantity	Formula	SI unit
Electric charge	[T A]	coulomb (C)
Electric potential	[M L2 T−3 A−1]	volt (V)
Electric field	[M L T−3 A−1]	N/C (or V/m)
Electric flux	[M L3 T−3 A−1]	V·m
Electric dipole moment	[L T A]	C·m
Capacitance	[M−1 L−2 T4 A2]	farad (F)
Permittivity of free space	[M−1 L−3 T4 A2]	C²/(N·m²)

Current electricity

Quantity	Formula	SI unit
Electric resistance	[M L2 T−3 A−2]	ohm (Ω)
Electrical conductance	[M−1 L−2 T3 A2]	siemens (S)
Resistivity	[M L3 T−3 A−2]	Ω·m
Current density	[L−2 A]	A/m²

Magnetism

Quantity	Formula	SI unit
Magnetic field	[M T−2 A−1]	tesla (T)
Magnetic flux	[M L2 T−2 A−1]	weber (Wb)
Magnetic moment	[L2 A]	A·m²
Permeability of free space	[M L T−2 A−2]	H/m (T·m/A)

Electromagnetic induction

Quantity	Formula	SI unit
Inductance	[M L2 T−2 A−2]	henry (H)

Thermal properties

Quantity	Formula	SI unit
Specific heat capacity	[L2 T−2 K−1]	J/(kg·K)
Latent heat	[L2 T−2]	J/kg
Thermal conductivity	[M L T−3 K−1]	W/(m·K)
Coefficient of linear expansion	[K−1]	K⁻¹
Stefan–Boltzmann constant	[M T−3 K−4]	W/(m²·K⁴)

Kinetic theory

Quantity	Formula	SI unit
Boltzmann constant	[M L2 T−2 K−1]	J/K