Properties Of Solids And Liquids Question 261
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 $
therefore $ 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 $ therefore $ \frac{V _{out}}{V}=\left( \frac{\sigma -\rho }{\sigma } \right)=\frac{1000-900}{1000}=\frac{1}{10} $ \ $ V _{out}=10% $ of V
