If `C` and `L` denote capacitance and inductance respectively, then the dimensions of `LC` are

Options

A. `[M^(0)L^(0)T^(0)]`
B. `[M^(0)L^(2)T^(-2)]`
C. `[MLT^(-2)]`
D. `[M^(0)L^(0)T^(0)]`

Answer

A

Explanation

Resonating frequency
`f=(1)/(2pisqrt(LC))`
`LC=(1)/(4pi^(2)f^(2))`
Dimension of LC=Dimension of `(1)/(4pi^(2)f^(2))`
`=[M^(0)L^(0)T^(2)]`