All dimension formula

Dimensional Formulas for Physical Quantities Physical quantityUnitDimensional formulaAcceleration or acceleration due to gravity ms–2 ,LT–2,Angle (arc/radius)rad,MoLoTo ,Angular displacementrad,MoloToAngular frequency (angular displacement/time)rads–1T–1Angular impulse (torque x time)NmsML2T–1Angular momentum (Iω)kgm2s–1ML2T–1Angular velocity (angle/time)rads–1T–1Area (length x breadth)m2L2Boltzmann’s constantJK–1ML2T–2θ–1Bulk modulus (\Delta P.\frac{V}{\Delta V}ΔP.ΔVV​.)Nm–2, PaM1L–1T–2Calorific valueJkg–1L2T–2Coefficient of linear or areal or volume expansionoC–1 or K–1θ–1Coefficient of surface tension (force/length)Nm–1 or Jm–2MT–2Coefficient of thermal conductivityWm–1K–1MLT–3θ–1Coefficient of viscosity (F =\eta A\frac{dv}{dx}ηAdxdv​)poiseML–1T–1Compressibility (1/bulk modulus)Pa–1, m2N–2M–1LT2Density (mass / volume)kgm–3ML–3Displacement, wavelength, focal lengthmLElectric capacitance (charge/potential)CV–1, faradM–1L–2T4I2Electric conductance (1/resistance)Ohm–1 or mho or siemenM–1L–2T3I2Electric conductivity (1/resistivity)siemen/metre or Sm–1M–1L–3T3I2Electric charge or quantity of electric charge (current x time)coulombITElectric currentampereIElectric dipole moment (charge x distance)CmLTIElectric field strength or Intensity of electric field (force/charge)NC–1, Vm–1MLT–3I–1Electric resistance (\frac{potential\text{ difference}}{current}currentpotential difference​)ohmML2T–3I–2Emf (or) electric potential (work/charge)voltML2T–3I–1Energy (capacity to do work)jouleML2T–2Energy density (\frac{energy}{volume}volumeenergy​)Jm–3ML–1T–2Entropy (\Delta S=\Delta Q/TΔS=ΔQ/T)Jθ–1ML2T–2θ–1Force (mass x acceleration)newton (N)MLT–2Force constant or spring constant (force/extension)Nm–1MT–2Frequency (1/period)HzT–1Gravitational potential (work/mass)Jkg–1L2T–2Heat (energy)J or calorieML2T–2Illumination (Illuminance)lux (lumen/metre2)MT–3Impulse (force x time)Ns or kgms–1MLT–1Inductance (L) (energy =\frac{1}{2}L{{I}^{2}}21​LI2) or coefficient of self-induction henry (H)ML2T–2I–2Intensity of gravitational field (F/m)Nkg–1L1T–2Intensity of magnetization (I)Am–1L–1IJoule’s constant or mechanical equivalent of heatJcal–1MoLoToLatent heat (Q = mL)Jkg–1MoL2T–2Linear density (mass per unit length)kgm–1ML–1Luminous fluxlumen or (Js–1)ML2T–3Magnetic dipole momentAm2L2IMagnetic flux (magnetic induction x area)weber (Wb)ML2T–2I–1Magnetic induction (F = Bil)NI–1m–1 or TMT–2I–1Magnetic pole strength (unit: ampere–meter)AmLIModulus of elasticity (stress/strain)Nm–2, PaML–1T–2Moment of inertia (mass x radius2)kgm2ML2Momentum (mass x velocity)kgms–1MLT–1Permeability of free space (\mu_o = \frac{4\pi Fd^{2}}{m_1m_2}μo​=m1​m2​4πFd2​)Hm–1 or NA–2MLT–2I–2Permittivity of free space ({{\varepsilon }_{o}}=\frac{{{Q}_{1}}{{Q}_{2}}}{4\pi F{{d}^{2}}}εo​=4πFd2Q1​Q2​​.)Fm–1 or C2N–1m–2M–1L–3T4I2Planck’s constant (energy/frequency)JsML2T–1Poisson’s ratio (lateral strain/longitudinal strain)––MoLoToPower (work/time)Js–1 or watt (W)ML2T–3Pressure (for