A capacitor of capacity \[C\] is connected with a battery of potential \[V\] in parallel. The distance between its plates is reduced to half at once, assuming that the charge remains the same. Then to charge the capacitance upto the potential \[V\] again, the energy given by the battery will be [MP PET 1989]

• A. \[C{{V}^{2}}/4\]
• B. \[C{{V}^{2}}/2\]
• C. \[3C{{V}^{2}}/4\]        
• D.   \[C{{V}^{2}}\]