Q.
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
A) ML²T⁻²
B) ML²T⁻¹I⁻¹
C) ML²T⁻³I⁻²
D) ML²T⁻³I⁻¹
Explanation
[Solution from source] R = V/I and V = W/q has dimensions ML²T⁻²/(IT) = ML²T⁻³I⁻¹, so R = ML²T⁻³I⁻². ML²T⁻³I⁻¹ is the dimension of potential difference, not resistance. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.