Question

In incompressible fluid flows steadily through a cylindrical pipe which had a radius 2R at point A and R at a point B further along the flow direction. If the velocity at A is v, then that at B is?

(a) v/2

(b) v

(c) 2v

(d) 4v

I got this question by my college director while I was bunking the class.

I want to ask this question from Buoyancy in division Mechanical Properties of Solids of Engineering Physics I

Answer 1

The correct choice is (d) 4v

Explanation: Using equation of continuity,

a1 v1=a2 v2

π(2R)^2 v=πR^2 v2

v2=4v.