In LC parallel resonance circuit, choose the wrong statement

In LC parallel resonance circuit, choose the wrong statement
  1. Resonance occurs when inductive and capacitive reactance is same.
  2. At resonance, current is maximum.
  3. At resonance, impedance is minimum.
  4. At resonance, resonant frequency $=\sqrt{\mathrm{LC}}$

Solution

Concept based. Resonance occurs when inductive and capacitive reactance is same. $\begin{aligned} & X_C=X_L \\ & \Rightarrow \omega L=\frac{1}{\omega C} \\ & \Rightarrow \omega=\frac{1}{\sqrt{L C}} \\ & \therefore f=\frac{1}{2 \pi \sqrt{L C}}\end{aligned}$

Asked in: MHT CET 2022 (05 Aug Shift 2)

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