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ExamsNEETPhysics

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:

  1. [ML²T⁻³I⁻²]
  2. [ML²T⁻³I⁻¹]
  3. [ML²T⁻³I⁻²]
  4. [ML²T⁻³I⁻¹]

Correct answer: [ML²T⁻³I⁻²]

Solution

The formula for resistance is R = V/I, where V (voltage) has dimensions [ML²T⁻³I⁻¹] and I (current) has dimensions [I]. Dividing these gives the dimensions of resistance as [ML²T⁻³I⁻²].

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