In the figure shown capacitors `A` and `B` of capacitance `C` are in steady state. A dielectric slab of dielectric constant `K=2` and dimensions equal to the inner dimensions of the capcitors is inserted in the space between the plate of the capacitor `B`. In steady state choose the correct options.

Options

A. Charge on each capacitor will increase by `(CE)/(6)`.
B. In the process of inserting the dielectric, energy of the battery decreases by an amount of `(CE^(2))/(6)`.
C. If the process of inserting the dielectric, energy of the battery increases by an amount of `(CE^(2))/(6)` .
D. In the process of inserting the dielectric, energy in the capacitor A increases by an amount of `(7CE^(2))/(72)`.

Explanation