First slide

Fluid dynamics

Question

Consider the following statements
(A) The stream of water emerging from a water tap "necks down" as it falls.
(B) The volume flow rate at different levels is same.
Select the correct option.

Moderate

A

Both (A) and (B) are true.
B

(A) is true but (B) is false.
C

(A) is false but (B) is true.
D

Both (A) and (B) are false.

Solution

As per the equation of continuity velocity is inversely propotional to area of crossection but the volume flow rate remains same.
As we are moving down below the tap , velocity of flow increases according to the equation $v = \sqrt{2 g h}, w h e r e h i s t h e d i s \tan c e o f c r o s s s e c t i o n b e l o w t h e t a p .$

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