Fluid Mechanics Viscosity Question 297
Question: Equal volumes of two immiscible liquids of densities $ \rho $ and $ 2\rho $ are filled in a vessel as shown in figure. Two small holes are punched at depth $ h/2 $ and $ 3h/2 $ from the surface of lighter liquid. If$ v_{1} $ and $ v_{2} $ are the velocities of a flux at these two holes, then $ v_{1}/v_{2} $ is
Options:
A) $ \frac{1}{2\sqrt{2}} $
B) $ \frac{1}{2} $
C) $ \frac{1}{4} $
D) $ \frac{1}{\sqrt{2}} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ v_{1}=\sqrt{2g(h/2)}. $ For $ v_{2} $ we can replace the liquid of density$ \rho $ and height h to a liquid of density $ 2\rho $ and height$ h/2 $ Thus $ v_{2}=\sqrt{2gh}=\sqrt{2}v $ .
BETA
