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