Question

The dimensions of electrical resistance are

• A. $\left[M L^{2} T^{-2} A^{2}\right]$
• B. $\left[M L^{2} T^{-3} A^{-2}\right]$
• C. $\left[M L^{2} T^{-3} A^{2}\right]$
• D. $\left[M L^{2} T^{-2} A^{-2}\right]$

Answer 1

Answer: (B)

Electrical resistance $R=\frac{\text { Potential difference }}{\text { current }(I)}$
$=\frac{\text { work done }(W) / \text { charge }(q)}{\text { current }(I)}$
$\therefore $ Dimensions of $R=\frac{\left[M L^{2} T^{-2}\right] /[A T]}{[A]}$
$=\left[M L^{2} T^{-3} A^{-2}\right]$