Fluid Mechanics Viscosity Question 298

Question: A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.8). The height of water is 3m and that of kerosene 2m. When the hole is opened the velocity of fluid coming out from it is nearly: (take $ g=10m{{s}^{-2}} $ and density of water$ =10^{3}kg{{m}^{-3}} $ )

Options:

A) $ 10.7,m{{s}^{-1}} $

B) $ 9.8,m{{s}^{-1}} $

C) $ 8.5,m{{s}^{-1}} $

D) $ 7.6,m{{s}^{-1}} $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] According to Toricelli’s theorem, Velocity of efflex. $ V_{eff}=\sqrt{2gh}=\sqrt{2\times 9.8\times 5}\cong 9.8m{{s}^{-1}} $