The Network Shown Is Assembled with Uncharged Capacitors X $C X = 4.0 \mu \mathrm { F }$

Multiple Choice

The network shown is assembled with uncharged capacitors X , Y, and Z, with $C X = 4.0 \mu \mathrm { F }$ $\mathrm { CY } = 3.0 \mu \mathrm { F }$ and $C Z = 5.0 \mu \mathrm { F }$ The switches S₁ and S₂ are initially open, and a potential difference V_ab = 120 V is applied between points a and b. After the network is assembled, switch S₁ is then closed, but switch S₂ is kept open. How much energy is finally stored in capacitor X?

A) 29 mJ
B) 0.48 mJ
C) 0.24 mJ
D) 58 mJ
E) 0.96 mJ