The electrical resistance $R$ of a conductor of length $l$ and area of cross section $a$ is given by $R = \frac{{\rho l}}{a}$ where $\rho$ is the electrical resistivity. What a is the dimensional formula for electrical conductivity $\sigma $ which is reciprocal of resistivity?
AIEEE 2012, Medium
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Dimensional fomula for electrical
resistivity, $\rho=\left[M L^3 T^{-3} A^{-2}\right]$
Dimensional formula for electrical
conductivity, $\sigma=\frac{1}{\rho}$ is $\left[M^{-1} L^{-3} A^2\right]$
resistivity, $\rho=\left[M L^3 T^{-3} A^{-2}\right]$
Dimensional formula for electrical
conductivity, $\sigma=\frac{1}{\rho}$ is $\left[M^{-1} L^{-3} A^2\right]$
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