In an LCR circuit as shown in figure, both switches are open initially. Now. switch S1 is closed. S2 kept open. (q is charge on the capacitor and τ = RC is capacitive time constant). Which of the following statement is correct?
(a) At t = τ/2, q = CV(1-e-1)
(b) Work done by the battery is half of the energy dissipated in the resistor
(c) AT t = τ , q = CV/2
(d) AT t = 2τ, q = CV(1-e-2)