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Dimensions of resistance in an electrical circuit, in terms of dimension of mass M,

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]

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