Question

C and R denote the capacitance and resistance respectively. What is the dimensional formula of CR?
A. `[M^(0)L^(0)T^(0)]`
B. `[M^(0)L^(0)T^(1)]`
C. `[M^(0)L^(0)T^(-1)]`
D. `[M^(1)L^(0)T^(-1)]`

Answer 1

Correct Answer - b
`C=(Q)/(V)andR=(V)/(I)`
`therefore CR=(Q)/(V)xx(V)/(I)=(Q)/(I)=(Ixxt)/(I)=t`
`therefore [CR]=[T^(1)]=[M^(0)L^(0)T^(1)]`