The frequency of the output signal of an $LC$ oscillator circuit is $F \ Hz$ with a capacitance of $0.1 \ \mu F$. If the value of the capacitor is increased to $0.2 \ \mu F$,then the frequency of the output signal will be
- A$\frac{F}{\sqrt{2}} \ Hz$
- B$\frac{F}{\sqrt{3}} \ Hz$
- C$\frac{F}{2} \ Hz$
- D$2 F \ Hz$
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