(a) Resistivily
Explanation:
Resistivity = ρ = (RA / L)
R = (V/I) & V = (W/Q) = (W / It)
[as V = (work / charge) = [(work) / (current × time)]
Hence V = ([M1L2T–2] / [A1T]) = [M1L2T–3A–1]
Hence R = ([M1L2T–3A–1] / [A1]) = [M1L2T–3A–2]
Now ρ = (RA / L)
= ({[M1L2T–3A–2] [L2]} / [L])
= [M1L3T–3A–2]