If `L,C` and `R` denote the inductance, capacitance and resistance respectively, the dimensional formula for `C^(2)LR` is

Options

A. `[ML^(-2) T^(-1) I^(0)]`
B. `[M^(0)L^(0) T^(3) I^(0)]`
C. `[M^(-1)L^(-2) T^(6) I^(2)]`
D. `[M^(0)L^(0) T^(2) I^(0)]`

Answer

B

Explanation

`C^(2) LR = (CR) CL = t xx t^2 rarr [T]^3`
`:.` RC = time constant
frequency `(f) =1/sqrt(LC) ,LC =1/f^2 =t^2`