Fluid Mechanics Viscosity Question 318
Question: Water of density p in a clean aquarium forms a meniscus, as illustrated in the figure. Calculate the difference in height h between the centre and the edge of the meniscus. The surface tension of water is$ \gamma $ .
Options:
A) $ \sqrt{\frac{2\gamma }{\rho g}} $
B) $ \sqrt{\frac{\gamma }{\rho g}} $
C) $ \frac{1}{2}\sqrt{\frac{\gamma }{\rho g}} $
D) $ 2\sqrt{\frac{\gamma }{\rho g}} $
Show Answer
Answer:
Correct Answer: A
Solution:
[a]Balancing forces in horizontal direction $ \left( p_{0}-\rho g\frac{h}{2} \right)\ell h=\gamma \ell =p_{0}\ell h\Rightarrow h=\sqrt{\frac{2\gamma }{\rho g}} $
BETA
