NEETPhysicsMechanical Properties of Fluids
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): When an incompressible ideal fluid flows steadily through a horizontal pipe of varying cross-section, the fluid velocity is maximum at the narrowest part of the pipe. Reason (R): According to Bernoulli's principle, for a steady horizontal flow of an ideal fluid, a region of higher fluid velocity is
Options
- ABoth Assertion (A) and Reason (R) are true and (R) is the correct explanation of (A).
- BBoth Assertion (A) and Reason (R) are true but (R) is not the correct explanation of (A).
- C(A) is true but (R) is false.
- D(A) is false but (R) is true.
Correct answer
B. Both Assertion (A) and Reason (R) are true but (R) is not the correct explanation of (A).
Step-by-step solution
Assertion (A) is true: According to the equation of continuity for an incompressible fluid, A₁v₁ = A₂v₂ . The velocity of the fluid is inversely proportional to the cross-sectional area. Therefore, the fluid velocity is maximum at the narrowest part of the pipe where the area is minimum. Reason (R) is true: Bernoulli's principle for a horizontal pipe states that P + 1 2 v^2 = constant . This implies that an increase in fluid velocity results in a decrease in static pressure. However, Reason (R) is not the correct e