A) 20%
B) 25%
C) 33.3%
D) 50%
Correct Answer: B
Solution :
Let the total volume of ice-berg is V and its density is p. If the ice-berg floats in water with volume \[{{V}_{in}}\] inside it, then \[{{V}_{in}}\sigma g=V\rho g\] \[\Rightarrow \] \[{{V}_{m}}=\left[ \frac{\rho }{\sigma } \right]V\] [\[\sigma =\] density of the sea water] \[\Rightarrow \] \[{{V}_{out}}=V-{{V}_{in}}=\left[ \frac{\sigma -\rho }{\sigma } \right]V\] \[\Rightarrow \] \[\frac{{{V}_{out}}}{V}=\left[ \frac{\sigma -\rho }{\sigma } \right]=\frac{1200-900}{1200}=0.25\] [Density = Relative density \[\times 1000\]] \[\therefore \] \[{{V}_{out}}=25%\] of V
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