In a series LCR circuit, the inductance L is 10mH, capacitance C is 1µF and resistance R is 100 $Ω .$ The frequency at which resonance occurs is :

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15.9 KHz

1.59 rad/s

1.59 KHz

15.9 rad/s

answer is A.

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Detailed Solution

Resonant frequency,
$\begin{array}{l} f = \frac{1}{2 π \sqrt{LC}} = \frac{1}{2 π \sqrt{(10 \times 10^{- 3}) (1 \times 10^{- 6})}} \\ = \frac{10^{4}}{2 π} = 1.59 kHz \end{array}$

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