• # question_answer A small hole of area of cross-section 2 $m{{m}^{2}}$is present near the bottom of a fully filled open tank of height 2 m. Taking$g=10\text{ }m/{{s}^{2}}$, the rate of flow of water through the open hole would be nearly:  [NEET 2019] A)  $2.23\times {{10}^{6}}\text{ }{{m}^{3}}/s$ B)  $6.4\times {{10}^{6}}\text{ }{{m}^{3}}/s$ C)  $12.6\times {{10}^{6}}\text{ }{{m}^{3}}/s$ D)  $8.9\times {{10}^{6}}\text{ }{{m}^{3}}/s$

 [c] $Q=AV$ $=A\text{ }\sqrt{2gh}$ $=2\times {{10}^{6}}\text{ }\sqrt{2\times 10\times \text{ }2}$ $=2\times {{10}^{6}}\sqrt{40}$
$=12.6\times {{10}^{6}}$