An ideal fluid flows through a pipe made of two sectionswith diameters of 1.0 and 3.0cm, respectively. By what factor wouldyou have to multiply the velocity of the liquid flowing through the1.0 cm section to obtain the velocity of liquid flowing through the3.0cm section?
A) 6.0
B) 9.0
C) 1/3
D) 1/9

The factor is to obtain velocity pf liquid flowing through second pipe.

Option (D) is correct

Explanation:

Given:

Diameter of first pipe cm

Diameter of second  pipe cm

From the equation of continuity

Where area of tube, velocity of fluid

Where

By putting above value,

So velocity at the second pipe end is,

By putting values of diameter,

Therefore, the factor is to obtain velocity pf liquid flowing through second pipe.

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