If C and R denote capacitance and resistance respectively, then the dimensional formula of CR is

Explanation

The capacitance of a conductor as the ratio of the charge given to the rise in the potential of the conductor
`C=(q)/(V)=(q^(2))/(W)` `(V=(W)/(q))`
`C=(ampere^(2)-sec^(2))/(kg-metre^(2)//sec^(2))`
Hence, dimensions of C are `[M^(-1)L^(-2)T^(4)A^(2)]`
From Ohm's law,V=iR, therefore dimensions of resistance
`R=(V)/(i)`=`("Volt")/(Ampere)`
`=kg-metre^(2)sec^(-3)ampere^(-2)`
`therefore` Dimensions of `R=[ML^(2)T^(-3)A^(-2)]`
`therefore` Dimensions of `RC=[M^(-1)L^(-2)T^(4)A^(2)][ML^(2)T^(-3)A^(-2)]`
=` M^(0)L^(0)T]`