1
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Question

# An iceberg is floating partially immersed in seawater. The density of seawater is 1.03 g cm−3 and that of ice is 0.92 g cm−3. The approximate percentage of the total volume of the iceberg above the level of seawater is

A
8
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B
11
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C
34
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D
89
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Solution

## The correct option is B 11Let V is the total volume of the iceberg, ΔV be volume of iceberg above sea level and V−ΔV be the volume of submerged part of iceberg. Then according to Archimedes principle, we have weight of the water displaced (weight of V−ΔV volume of water)=weight of the iceberg (V−ΔV)×ρw×g=V×ρi×g (V−ΔV)×1.03×g=V×0.92×g V−ΔVV=0.921.03 ΔVV=1−0.921.03=0.111.03 ΔVV×100=111.03=11%

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