Concept:By Bernoulli's theorem, where cross-section is smaller, velocity is higher and pressure is lower.
Explanation:The tube shown has a
narrow constriction in the middle and wider sections on both sides.
By the
equation of continuity:
Av=constant, so at the narrow section, velocity
v is
higher.
By
Bernoulli's equation:
P+21ρv2=constant, higher velocity →
lower pressure.
So the pressure variation along
x should be:
High pressure at the wide left section
Drops at the narrow middle constriction
Rises back at the wide right section
This gives a graph that starts high,
dips down in the middle (at the constriction), and returns to a higher value — a smooth dip shape.
Option C shows exactly this: pressure starts at a certain level, decreases at the constriction, and then recovers — a
smooth dip (trough) in the middle.
Answer:Option **C** — Pressure dips at the narrow constriction and recovers at the wider sections.