If L,R, C denote inductance, resistance and capacitance, respectively .Then dimensions of `(1)/(R^(2)C)` are

Options

A. `[M^(0)L^(0)T]`
B. `[MLT^(-1)]`
C. `[A^(-1)M^(0)L^(0)T^(-1)]`
D. `[M^(0)L^(0)T^(0)]`

Answer

d

Explanation

`(L)/(R ) =` time constant of `L-R` circuit `M^(0)L^(0)T]`
`RC =` time constant of `R-C` circuit `= [M^(0)L^(0)T]`
The dimensions of
`(L^(2))/(R^(2)C) = ((L)/(R)) xx (1)/(RC) = ([M^(0)L^(0)T])/([M^(0)L^(0)T]) = [M^(0)L^(0)T^(0)]`.