A circuit containing capacitors `C_1` and `C_2`, shown in the figure is in the steady state with key `K_1` closed and `K_2` opened. At the instant `t = 0`, `K_1` is opened and `K_2` is closed.
(a) Find the angular frequency of oscillations of `L- C` circuit.
(b) Determine the first instant `t`, when energy in the inductor becomes one third of that in the capacitor.
(c) Calculate the charge on the plates of the capacitor at that instant.
