Question:
What are the dimensions of electrical conductivity?
What are the dimensions of electrical conductivity?
Updated On: Jun 8, 2024
- $\left[M L^{-3} T^{3} I^{2}\right]$
- $\left[M^{-1} L^{3} T^{2} I^{3}\right]$
- $\left[M^{-1} L^{-2} T^{3} I^{2}\right]$
- $\left[M^{-1} L^{-3} T^{3} I\right]$
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The Correct Option is C
Solution and Explanation
Conductivity $=\frac{\text { Length }}{\text { Resistance } \times \text { Area }}$
$=\frac{[L]}{\left[M L^{2} T^{-3} I^{-2}\right]\left[L^{2}\right]}$
$=\left[M^{-1} L^{-3} T^{3} I^{2}\right]$
$=\frac{[L]}{\left[M L^{2} T^{-3} I^{-2}\right]\left[L^{2}\right]}$
$=\left[M^{-1} L^{-3} T^{3} I^{2}\right]$
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