The Network Shown Is Assembled with Uncharged Capacitors X ,Y,and

The network shown is assembled with uncharged capacitors X ,Y,and Z,with

And
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