Basic Maths and Units and DimensionsEasy

Question

Let [ε0] denote the dimensional formula of the permittivity of the vacuum and [μ0] that of the permeability of the vacuum. If M = mass, L= length, T = time and I = electric current.

Options

A.[ε0] =[M-1L-3T-2I]
B.[ε0] =[M-1L-3T4I2]
C.[μ0] =[MLT-2I-2]
D.[μ0] =[ML2T-1I]

Solution

F =
ε0 = = [M-1L-3T4I2]
Speed of light, c =
∴ [μ0 =
= = [MLT-2I-2]

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