Charge on capacitor A after time t is

Question

Two uncharged identical capacitors A and B, each of capacitance C,and an inductor of inductance L are arranged as shown in figure. At t=0, the switch S₁ is closed while switch S₂ remains open. At time t=t₀=\( {\sqrt{LC}}\) \( {1\over 2}\), switch S₂ is closed while switch S₁ is opened. Then, the charge on capacitor A after time t₀ is

Answer 1

Answer is : (c)

Comments

How is the initial charge on capacitor A 2CE??? Please give the answer in a detailed manner and if possible also mention charge on capacitor B