Question

If R, C and L denote resistance, capacitance and inductance. Which of the following does NOT have the dimensions of frequency?

• A. $R{L}^{-1}$
• B. $R{L}^{-1}{C}^{-1}$
• C. $L^{1/2}{C}^{-1/2}$
• D. $RCL$

Answer 1

The correct option is D $RCL$

$\left[R\right]=\left[L^{2}M{T}^{-3}{I}^{-2}\right],\left[L\right]=\left[L^{2}M{T}^{-2}{I}^{-2}\right],\left[C\right]=\left[L^{-2}{M}^{-1}{T}^4{I}^2\right]and\left[f\right]=\left[M^{\circ }{L}^{\circ }{T}^{-1}\right]$