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

Answer

B

Explanation

We know that resistivity
`rho=(RA)/(l)`
`"Conductivity"=(1)/("resistivity")=(l)/(RA)`
`=(lI)/(VA)(because V=RI)`
`=([L][I])/([(ML^(2)T^(-2))/([I][T])]xx[L^(2)])becauseV=(W)/(q)=(W)/(it)`
`=[M^(-1)L^(-3)T^(3)][I^(2)]=[M^(-1)L^(-3)T^(3)I^(2)]`