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JEE Main 2022 (27 Jun, Shift 2) · Series LCR Circuit

Series LCR Circuit question from JEE Main 2022 (27 Jun, Shift 2)

Q42JEE Main 2022 · 27 JUN · SHIFT 2Easy

Series LCR Circuit

If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?

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Answer: (d)

$RC$ and $\frac{L}{R}$ are time constants; $\sqrt{LC} = \frac{1}{\omega}$ has unit of time.
$\frac{L}{C} = (\omega L)\left(\frac{1}{\omega C}\right) = X_L X_C$ , unit $\Omega^2$ , not time.
So the answer is (d) $\frac{L}{C}$ .

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