An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius 2 R at point A and radius R at point B farther along the flow direction. If the velocity of the fluid at point A is V , its velocity at the point B will be

Question

An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius 2 R at point A and radius R at point B farther along the flow direction. If the velocity of the fluid at point A is V , its velocity at the point B will be, V 2, 4 V, 2 V, V

MARKS App · Accepted Answer

We know that, from continuity equation, A 1 V 1 = A 2 V 2 (Symbols have usual meanings) π ( 2 R ) 2 V = π R 2 V B ( V B = Velocity of the fluid at point B ) ⇒ π ( 2 R ) 2 V = π R 2 V B ⇒ π 4 R 2 V = π R 2 V B 4 V = V B ∴ V B = 4 V

Search any question & find its solution

Looking for more such questions to practice?