The Network Shown Is Assembled with Uncharged Capacitors X $\mu$ F, C_Y=5

The network shown is assembled with uncharged capacitors X , Y, and Z, with
C_X=3.0 $\mu$ F, C_Y=5.0 $\mu$ F and C_Z=1.0 $\mu$ 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. What is the final potential difference across capacitor Z?

A) 100 V
B) 600 V
C) 55 V
D) 38 V
E) 29 V