Fluid Mechanics Viscosity Question 290
Question: A large tank filled with water to a height ‘A’ is to be emptied through a small hole at the bottom. The ratio of time taken for the level of water to fall from h to$ \frac{h}{2} $ and $ \frac{h}{2} $ to zero is
Options:
A) $ \sqrt{2} $
B) $ \frac{1}{\sqrt{2}} $
C) $ \sqrt{2}-1 $
D) $ \frac{1}{\sqrt{2}-1} $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ t=k(\sqrt{h_{1}}-\sqrt{h_{2}}) $ $ \therefore ,,,t_{1}=k(\sqrt{h}-\sqrt{h/2}) $ and $ t_{2}=k(\sqrt{h/2}-0) $ $ \therefore ,,\frac{t_{1}}{t_{2}}=\sqrt{2}-1 $
BETA
