If L,C and R denote the inductance, capa...

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

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)]`

Verified by Experts

The correct Answer is:

B

`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`

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