Q 11-01-226JEE MainJEE Main 2019 (12 Jan, Shift 2)Medium
Let $L$, $R$, $C$ and $V$ represent inductance, resistance, capacitance and voltage, respectively. The dimension of $\dfrac{L}{RCV}$ in SI units will be:
Answer: (B) $[A^{-1}]$
$\dfrac LR$ is a time constant, so $[L/R] = T$. $CV$ is a charge, so $[CV] = AT$.
$$\left[\frac{L}{RCV}\right] = \frac{T}{AT} = A^{-1}$$
Solution by Sreeraj P, M.Sc Physics