First slide

Dimensions of physical quantities

Question

What are the dimensions of electrical resistance?

Moderate

A

${ML}^{2} T^{- 2} A^{2}$
B

${ML}^{2} T^{- 3} A^{- 2}$
C

${ML}^{2} T^{- 3} A^{2}$
D

${ML}^{2} T^{- 2} A^{- 2}$

Solution

From Ohm's law, resistance R is given by $R = \frac{potential difference}{current}$
$∴$ Dimensions of $R = \frac{{ML}^{2} T^{- 3} A^{- 1}}{A} = {ML}^{2} T^{- 3} A^{- 2}$
Thus, the correct choice is (2).

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