Fluid Mechanics Viscosity Question 274
Question: A hollow wooden cylinder of height A, inner radius R and outer radius 2R is placed in a cylindrical container of radius 3R. When water is poured into the container, the minimum height H of the container for which cylinder can float inside freely is
Options:
A) $ \frac{hp_{water}}{{\rho_{water}}+{\rho_{wood}}} $
B) $ \frac{h{\rho_{wood}}}{{\rho_{water}}} $
C) h
D) $ \frac{h^{2}}{R} $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ mg=v{\rho_{wood}}g=(3\pi R^{2}h){\rho_{wood}}g $ $ \frac{h{\rho_{wood}}}{{\rho_{water}}}=H $
BETA
