Two capacitors of capacitance C and 3C are changed to potential difference  $V_0$ and $2V_0$  respectively and connected to an inductor of inductance ‘L’ as shown in the figure.  Initially the current in the inductor is zero. Now the switch S is closed. The maximum  current in the inductor is $V_0\sqrt{\frac{KC}{L}}$  , Find the value of ‘K’.