An incompressible fluid flows steadily through a cylindrical pipe which has radius 4 R at point A and radius R at point B farther from the point A in the direction of flow of water. If the velocity at point A is 5 m / s then velocity at B is

Question

An incompressible fluid flows steadily through a cylindrical pipe which has radius 4 R at point A and radius R at point B farther from the point A in the direction of flow of water. If the velocity at point A is 5 m / s then velocity at B is (A) 5 m / s (B) 20 m / s (C) 40 m / s (D) 80 m / s

Tardigrade Admin · Accepted Answer

From equation of continuity V B π R B 2=π(4 R )2 5 V B =80 m / s

Q. An incompressible fluid flows steadily through a cylindrical pipe which has radius $4 R$ at point $A$ and radius $R$ at point $B$ farther from the point $A$ in the direction of flow of water. If the velocity at point $A$ is $5 m / s$ then velocity at $B$ is

$5 m / s$

$20 m / s$

$40 m / s$

$80 m / s$

From equation of continuity
$V_{B} π R_{B}^{2} = π (4 R)^{2} 5$
$V_{B} = 80 m / s$

Q. An incompressible fluid flows steadily through a cylindrical pipe which has radius 4R at point A and radius R at point B farther from the point A in the direction of flow of water. If the velocity at point A is 5m/s then velocity at B is

5m/s

20m/s

40m/s

80m/s