Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I would be

Options

(a) [ML²T⁻²]
(b) [ML²T⁻¹I⁻¹]
(c) [ML²T⁻³I⁻²]
(d) [ML²T⁻³I⁻¹]

Correct Answer:

[ML²T⁻³I⁻²]

Explanation:

According to Ohm’s law,
V=RI or R = V/I
Dimensions of V=W/q = [ML²T⁻²]/[IT]
R=[ML²T⁻²/IT]/[I] =[ML²T⁻³I⁻²]