Fluid Mechanics Viscosity Question 179
Question: An ice berg of density 900 Kg/m3 is floating in water of density 1000 Kg/m3. The percentage of volume of ice-cube outside the water is [CPMT 2004]
Options:
A)20%
B)35%
C)10%
D) 25%
Show Answer
Answer:
Correct Answer: C
Solution:
Let the total volume of ice-berg is V and its density is r. If this ice-berg floats in water with volume Vininside it then $ V_{in}\sigma g=V\rho g $ Þ $ V_{in}=\left( \frac{\rho }{\sigma } \right)\ V $ [$ \sigma = $ density of water]or $ V_{out}=V-V_{in}=\left( \frac{\sigma -\rho }{\sigma } \right)\ V $ Þ $ \frac{V_{out}}{V}=\left( \frac{\sigma -\rho }{\sigma } \right)=\frac{1000-900}{1000}=\frac{1}{10} $ \ $ V_{out}=10% $ of V
BETA
