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Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is ρi = 0.917 g cm–3?

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प्रश्न

Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is ρi = 0.917 g cm–3?

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उत्तर

Given, density of ice (ρice) = 0.917 g/cm3

Density of water (ρw) = 1 g/cm3

Let V be the total volume of the iceberg and V’ of its volume be submerged in water. In floating condition.

Weight of the iceberg = Weight of the water displaced by the submerged part of the ice

`Vρ_(ice) g = V^'ρ_w g`

or `V^'/V = ρ_(ice)/ρ_w = 0.917/1` = 0.917  .....(∵ Weight = mg = vρg)

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पाठ 10: Mechanical Properties of Fluids - Exercises [पृष्ठ ७४]

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एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 11
पाठ 10 Mechanical Properties of Fluids
Exercises | Q 10.13 | पृष्ठ ७४

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