1.

If L,R, C denote inductance, resistance and capacitance, respectively .Then dimensions of `(1)/(R^(2)C)` areA. `[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» Correct Answer - d
`(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)]`.


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