A natural unit system where certain fundamental constants are set to 1

SI units

CGS units

MKS units

${{\rm{C}}^{ - 2}}{\rm{N}}{{\rm{m}}^2}$

${{\rm{C}}^2}{{\rm{N}}^{ - 1}}{{\rm{m}}^{ - 2}}$

${{\rm{C}}^2}{\rm{N}}{{\rm{m}}^2}$

${{\rm{C}}^{ - 2}}{{\rm{N}}^{ - 1}}{{\rm{m}}^{ - 2}}$

$M{T^{ - 2}}$

$ML{T^{ - 1}}$

$ML{T^{ - 2}}$

$M{L^{ - 1}}{T^{ - 1}}$

$\left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}} \right]$

$\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{{\rm{T}}^0}{{\rm{heta }}^{ - 1}}} \right]$

Dimensionless

None of these

Angular momentum and Planck’s constant

Impulse and momentum

Moment of inertia and moment of a force

Work and torque

Resistivity

Conductivity

Resistance

None of these

Joule/second

Watt/ampere

Watt/coulomb

Coulomb/joule

Work and energy

Angle and strain

Relative density and refractive index

Planck constant and energy

Resistance

Resistivity

Conductance

Conductivity

${c^2}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}$

$\frac{1}{{{c^2}}}{\left[ {\frac{{{e^2}}}{{G4\pi {\varepsilon _0}}}} \right]^{1/2}}$

$\frac{1}{c}G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}$

$\frac{1}{{{c^2}}}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}$

$\left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}} \right]$

$\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{\rm{T}}} \right]$

$\left[ {{{\rm{M}}^0}{{\rm{L}}^2}{{\rm{T}}^0}} \right]$

Dimensionless