First slide

Dimensions of physical quantities

Question

Find the dimensional formula of resistance, $R$ .

Easy

A

$[{ML}^{2} T^{- 3} A^{- 2}]$
B

$[{ML}^{2} T A^{- 2}]$
C

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

$[M T^{- 3} A^{- 2}]$

Solution

$V = I R$
$∴ R = \frac{V}{I} o r [R] = \frac{[V]}{[I]} = \frac{[{ML}^{2} T^{- 3} A^{- 1}]}{[A]} = [{ML}^{2} T^{- 3} A^{- 2}]$

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