An ice berg of density 900Kgm3 is floating in water of density 1000Kgm3. The percentage of volume of ice-cube outside the water is
A
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B
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C
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D
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Solution
The correct option is C Let the total volume of ice-berg is V and its density isrho. If this ice-berg floats in water with volume Vin inside it then Vinσg=Vρg⇒Vin=(ρσ)V [σ = density of water] or Vout=V−Vin=(σ−ρσ)V ⇒VoutV=(σ−ρσ)=1000−9001000=110 ∴Vout=10%ofV