Question

Fountain usually seen in gardens are generated by a wide pipe with an enclosure at one end having many small holes. Consider one such fountain which is produced by a pipe of internal diameter 2 cm in which water flows at a rate 3m/s. The enclosure has 100 holes each of diameter 0.05 cm. The velocity of water coming out of the holes is (in m/s).

• A. $0.48$
• B. $96$
• C. $24$
• D. $48$

Answer 1

Answer: (D)

$48$

Since there is no leakage of water, from the equation of continuity, we have
$a_p{v}_p=100\times a_h{v}_h$

$\Rightarrow \pi {\left(\frac{0.02}{2}\right)}^2=100\times \pi {\left(\frac{0.0005}{2}\right)}^2\times v_h$

$\Rightarrow v_h=48m/s$