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 is the dimensional formula for electrical conductivity $\sigma $ which is reciprocal of resistivity?

  • [AIEEE 2012]
  • A
    $[M^{-1}\, L^{-3}\, T^3\,A^2]$
  • B
    $[M\,L^{-3}\, T^{-3}\,A^2]$
  • C
    $[M\,L^3\,T^{-3}\,A^{-2}]$
  • D
    $[M^{-2}\,L^3\, T^2A^{-1}]$

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