NEET Solved Paper 2019 Question 24

Question: A small hole of area of cross-section 2 $ mm^{2} $ is present near the bottom of a fully filled open tank of height 2 m. Taking $ g=10m/s^{2} $ , the rate of flow of water through the open hole would be nearly: [NEET 5-5-2019]

Options:

A) $ 2.23\times 10^{6}m^{3}/s $

B) $ 6.4\times 10^{6}m^{3}/s $

C) $ 12.6\times 10^{6}m^{3}/s $

D) $ 8.9\times 10^{6}m^{3}/s $

Show Answer

Answer:

Correct Answer: C

Solution:

$ Q=AV $

$ =A\sqrt{2gh} $

$ =2\times 10^{6}\sqrt{2\times 10\times 2} $

$ =2\times 10^{6}\sqrt{40} $

$ =12.6\times 10^{6} $