In the given LC circuit if initially capacitor C has change Q on it and `2C` has charge `2Q`. The polarities are as shown in the figure. Then after closing the switch s at `t = 0`

Options

A. energy will get equally distributed in both the capacitor just after closing the switch
B. Initial rate of growth of current in inductor will be `2Q//3CL`
C. Maximum energy in the inductor will be `3Q^(2)//2C`
D. None of these

Answer

C

Explanation

The equivalent circurit is as shown in fig.
`U_(L(max)) = U_(C(max)) = (1)/(2) ((3Q)^(2))/(3C) = (3Q^(2))/(2C)`