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Q.

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

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a

$10^{3} rad / s$

b

$10^{5} rad / s$

c

$10^{4} rad / s$

d

$10^{2} rad / s$

answer is B.

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Detailed Solution

Angular frequency of resonance, $ω_{0} = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{(1 \times 10^{- 3}) \times (10 \times 10^{- 6})}} = 10^{4} rad / s$

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