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 ?

Question

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 ? (A) 0.917 (B) 1 (C) 0.458 (D) 0

Tardigrade Admin · Accepted Answer

Let V be the total volume of the iceberg and V' of its volume be submerged into water Floatation condition weight of iceberg = Weight of water displaced by submerged part by ice V ρi g=V' ρw g ⇒ V' / V=ρi / ρw =0.917 / 1=0.917

Q. 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
$ρ_{i} = 0.917 g c m^{- 3}$ ?

0.917

1

0.458

0

Let $V$ be the total volume of the iceberg and $V^{'}$ of its volume be submerged into water
Floatation condition weight of iceberg = Weight of water displaced by submerged part by ice
$V ρ_{i} g = V^{'} ρ_{w} g$
$\Rightarrow V^{'} / V = ρ_{i} / ρ_{w}$
$= 0.917/1 = 0.917$

Q. 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​=0.917gcm−3 ?

0.917

1

0.458

0

Let V be the total volume of the iceberg and V′ of its volume be submerged into water Floatation condition weight of iceberg = Weight of water displaced by submerged part by ice Vρi​g=V′ρw​g ⇒V′/V=ρi​/ρw​ =0.917/1=0.917

Q. 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
$ρ_{i} = 0.917 g c m^{- 3}$ ?

Let $V$ be the total volume of the iceberg and $V^{'}$ of its volume be submerged into water
Floatation condition weight of iceberg = Weight of water displaced by submerged part by ice
$V ρ_{i} g = V^{'} ρ_{w} g$
$\Rightarrow V^{'} / V = ρ_{i} / ρ_{w}$
$= 0.917/1 = 0.917$