The capacitor of capacitance C can be charged (with the help of a resistance R ) by a voltage source V , by closing switch $\mathrm{S}_1$ while keeping switch $\mathrm{S}_2$ open. The capacitor can be connected in series with an inductor ' $L$ ' by closing switch $S_2$ and opening $S_1$.
If the total charge stored in the LC circuit is $Q_0$, then for $t \geq 0$
Select the correct option:
A
the charge on the capacitor is $\mathrm{Q}=\mathrm{Q}_0 \cos \left(\frac{\pi}{2}+\frac{\mathrm{t}}{\sqrt{\mathrm{LC}}}\right)$
B
the charge on the capacitor is $\mathrm{Q}=\mathrm{Q}_0 \cos \left(\frac{\pi}{2}-\frac{\mathrm{t}}{\sqrt{\mathrm{LC}}}\right)$
C
the charge on the capacitor is $\mathrm{Q}=-\mathrm{LC} \frac{\mathrm{d}^2 \mathrm{Q}}{\mathrm{dt}^2}$
D
the charge on the capacitor is $\mathrm{Q}=-\frac{1}{\sqrt{\mathrm{LC}}} \frac{\mathrm{d}^2 \mathrm{Q}}{\mathrm{dt}^2}$
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If the total charge stored in the LC circuit is $Q_0$, then for $t \geq 0$