Question

What are the dimensions of electrical conductivity?

• A. $\left[M{L}^{-3}{T}^3{I}^2\right]$
• B. $\left[M^{-1}{L}^3{T}^2{I}^3\right]$
• C. $\left[M^{-1}{L}^{-2}{T}^3{I}^2\right]$
• D. $\left[M^{-1}{L}^{-3}{T}^{3}I\right]$

Answer 1

Answer: (C)

Conductivity $=\frac{\text{ Length }}{\text{ Resistance }\times \text{ Area }}$
$=\frac{[L]}{\left[M{L}^2{T}^{-3}{I}^{-2}\right]\left[L^2\right]}$
$=\left[M^{-1}{L}^{-3}{T}^3{I}^2\right]$