In the following `'I'` refers to current and other symbols have their usual meaning. Chosse the option that corresponds to the dimensions of electrical conductivity:

Options

A. `ML^(-3)T^(-3)I^(2)`
B. `M^(-1)L^(3)T^(3)I`
C. `M^(-1)L^(-3)T^(3)I^(2)`
D. `M^(-1)L^(-3)T^(3)I`

Answer

C

Explanation

The relation between current density J, electrical conductivity `sigma` and electric field E is given by :
`J= sigma E`
`sigma = (J)/(E )= (I^(1)L^(-2))/((M^(1)L^(1)T^(-2))/(I^(1)T^(1)))`
`sigma =[M^(-1)L^(-3)T^(3)I^(2)]`.