\(\text { Initial energy }=\frac{1}{2} CV ^2\)
\(=\frac{1}{2} \times 600 \times 10^{-12} \times(200)^2=12\,\mu J\)
When connected to another uncharged capacitor
Charge will be equally distributed on identical capacitor
\(Q ^{\prime}=\frac{ Q }{2}=6 \times 10^{-8}\)
Final energy \(=2 \times \frac{ Q ^{\prime 2}}{2 C }=\frac{ Q ^{\prime 2}}{ C }\)
\(\frac{\left(6 \times 10^{-8}\right)^2}{600 \times 10^{-12}}=6\,\mu J\)
Energy lost = Initial energy - Final energy
\(=(12-6)\,\mu\, J =6\, \mu\, J\)