Find the dimensional formula of
(a) coefficient of viscosity `eta` (b)charge `q`
(c ) potention `V` (d) capacitance `C` and
( e) resistance `R`
Some of the equations containing these quantities are
`F= -etaA [[Delta v )/(Delta l]], q = It. U = VIt, q = CV and V = IR `
where A denotes Area, the v the velocity , I is the length ,I the electric current, t the time and U the energy .

Explanation

(i) `mu=(F)/(A)(Deltal)/(Deltav)`
`therefore` `[eta]=([F])/([A])([l])/([v])=([MLT^(-2)][L])/([L^(2)][LT^(-1)])=[ML^(-1)T^(-1)]`
(ii) `q=It`
`therefore` `[q]=[I][t]=[AT]`
(iii) `U=Vit`
`therefore` `V=(U)/(It)`
or `[V]=([U])/([I][t])=([ML^(2)T^(-2)])/([A][T])=[ML^(2)T^(-3)A^(-1)]`
(iv) `q=CV`
`C=(q)/(V)`
or `therefore` `[C]=([q])/([V])=-([AT])/([ML^(2)T^(-3)A^(-1)])=[M^(-1)L^(-2)T^(-4)A^(-2)]`
(v) `V=IR`
`therefore` `R=(V)/(I)`
or `[R]=([V])/([I])=([ML^(2)T^(-3)A^(-1)])/([A])=[ML^(2)T^(-3)A^(-2)]`