Alternating Current

At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I(t) = I₀ cos (\(\omega\)t), with I₀ = 1 A and \(\omega\) = 500 rad s^-1 starts flowing in it with the initial direction shown in the figure. At \(t = {{7\pi } \over {6\omega }}\), 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 \(\Omega\) and the battery is ideal with emf of 50 V, identify the correct statement(s).