√Ne²mε₀
√mε₀Ne²
√Nemε₀
√mε₀Ne
We have ωp as the angular frequency. Thus its unit would be given as θ/t = [T⁻¹]. We have the units of density N as 1/L³, charge e as IT, mass as M, and ε₀ is evaluated using the force equation F = 1/(4πε₀)q₁q₂/r² as I²T⁴ML³.