The physical quantity having the dimensions `[M^(–1)L^(–3)T^(3)A^(2)]` is

Options

A. Resistance
B. Resistivity
C. Electrical conductivity
D. Electromotive force

Answer

C

Explanation

(a) Resistance `(R) =V/I =W/(qI)`
`[R]=([ML^2T^(-2)])/([AT][A])=[ML^2T^(-3)A^(-2)]`
(b) Resistivity `(rho) rarr Omegam implies rho = Rl`
`[rho] = [ML^3 T^(-3) A^(-2)]`
(c) Electrical conductivity `(sigma) =1/rho`
`[sigma]=[M^(-1)L^(-3)T^3 A^2]`
(d) Electromotive force (emf) = Volt `=W/q`
[emf] `[ML^2T^(-3)A^(-1)]`