A) \[\frac{1}{LC}\]
B) \[\frac{1}{\sqrt{LC}}\]
C) \[\frac{1}{LCR}\]
D) \[\frac{1}{CR}\]
Correct Answer: B
Solution :
Key Idea: Resonance occurs when capacitive reactance is equal to inductive reactance. At resonance \[{{X}_{L}}={{X}_{C}}\] \[\therefore \] \[{{\omega }_{0}}L=\frac{1}{{{\omega }_{0}}C}\] \[\Rightarrow \] \[\omega _{0}^{2}=\frac{1}{LC}\] \[\Rightarrow \] \[{{\omega }_{0}}=\frac{1}{\sqrt{LC}}\]
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