Q 11-01-165JEE MainJEE Main 2022 (27 Jun, Shift 2)Easy
If $L$, $C$ and $R$ are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?
Answer: (D) $\dfrac{L}{C}$
$\sqrt{LC} = 1/\omega$ of an LC circuit, $L/R$ and $CR$ are time constants: all have dimension of time.
$\dfrac{L}{C} = \dfrac{L}{R}\cdot\dfrac{R}{C} = R^2\cdot\dfrac{L/R}{CR}$, which has the dimension of (resistance)$^2$, not time.
Solution by Sreeraj P, M.Sc Physics