Pascal's Principle in Hydraulics

Steps:

• Piston X applies force to the fluid, creating pressure Px = force / area of X.
• The fluid is incompressible and enclosed, so pressure transmits equally everywhere per Pascal's law.
• Thus, fluid pressure at pistons Y and Z equals Px, making Py = Pz = Px.
• No height differences or losses indicated in the diagram or question.

Why C is correct:

• Pascal's principle: Pressure applied to an enclosed fluid is transmitted undiminished to every part.

Why the others are wrong:

• A: No mechanism makes Px greater than Py or Pz; pressure equalizes.
• B: Py equals Px, not less; uniform transmission.
• D: Px equals Py and Pz, not less; no hydrostatic variation shown.

Final answer: C