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An inductance of 1 mH and a charged capacitor capacitance of 10 $μ$ F are connected across each other. The resonating angular frequency of circuit is

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10⁴ rad/s

10² rad/s

10⁵ rad/s

10³ rad/s

answer is B.

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Detailed Solution

$\begin{aligned} ω L = \frac{1}{ω C} \Rightarrow ω^{2} = \frac{1}{LC} \\ or ω = \frac{1}{\sqrt{10^{- 3} \times 10 \times 10^{- 6}}} = \frac{1}{\sqrt{10^{- 8}}} = 10^{4} \end{aligned}$

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