To solve this problem it is necessary to apply the continuity equations for which it is defined that
[tex]v_1A_1 = v_2 A_2[/tex]
Where
[tex]v_i =[/tex]Velocity at each state
[tex]A_i =[/tex] Area at each state
If we consider the end of the section with a certain number of capillarities, the issue can be expressed as
[tex]v_1A_1 = (v_2 A_2 )N[/tex]
[tex]N = \frac{v_1A_1 }{ (v_2 A_2 )}[/tex]
This value only indicates that the proportionality relationship between the input section and the output section is equivalent to the number of capillarities.
Replacing with our values
[tex](40)(\pi (1)^2) = N((0.1)(\pi(5*10^{-4})^2))[/tex]
Solving to N,
[tex]N = 1.6*10^9[/tex]
Therefore the correct answer is A.
