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An L.C. circuit is in the state of resonance. If $C=0.1 \mu \mathrm{F}$ and $L=0.25$ Henry. Neglecting ohmic resistance of circuit. What is the frequency of oscillations?
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The correct answer is:
1007 Hz
From the formula, the frequency of oscillation is
$\begin{aligned} f & =\frac{1}{2 \pi \sqrt{L C}} \\ & =\frac{1}{2 \pi \sqrt{0.25 \times 0.1 \times 10^{-6}}} \\ & =1007 \mathrm{~Hz}\end{aligned}$
$\begin{aligned} f & =\frac{1}{2 \pi \sqrt{L C}} \\ & =\frac{1}{2 \pi \sqrt{0.25 \times 0.1 \times 10^{-6}}} \\ & =1007 \mathrm{~Hz}\end{aligned}$
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