Correct option is C
Concept:
Continuity Equation
The principle of continuity in fluid dynamics states:
A₁V₁ = A₂V₂ = constant,
where:
A = cross-sectional area of the pipe
V = speed of fluid flow
(Since flow rate is constant)
So, when the area decreases, the speed increases, and vice versa.
From the Figure:
S₁ and S₃ have wider diameter
S₂ has the narrowest diameter
Thus, Area(S₂) < Area(S₁) = Area(S₃)
So, by the continuity equation:
Speed(S₂) > Speed(S₁) = Speed(S₃)
Correct Interpretation:
Speed is higher in section S₂ compared to S₁ and S₃
Final Answer:
S. Ans. (c) higher in section S₂ compared to the other sections
