At time t = 0, terminal A in the circuit shown in the figure is connected to B by a keyand an alternating current $$I(t) = I_0 \cos^fo (\omega t)$$, with $$I_0 = 1 A$$ and $$\omega = 500 rad s^{-1}$$ starts flowing in it with the intial direction shown in the figure. At $$t = \frac{7 \pi}{6 \omega}$$, the key is switched from B to D. Now onwards only A and D are connected. A total charge Q flows from the battery to charge the capacitor fully. If $$C = 20 \mu F, R = 10 Ω$$ and the battery is ideal with emf of 50V, identify the correct statement (s).