An iceberg floats in water with part of it su | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to the Law of Floatation,for an object floating in a liquid,the weight of the object is equal to the weight of the liquid displaced.Let

Vedclass · Accepted Answer

$0.917$

Vedclass · Answer

(A) According to the Law of Floatation,for an object floating in a liquid,the weight of the object is equal to the weight of the liquid displaced.Let $V$ be the total volume of the iceberg and $V_{sub}$ be the volume submerged in water.Weight of the iceberg = $V \cdot \rho_{i} \cdot g$Weight of the water displaced = $V_{sub} \cdot \rho_{w} \cdot g$Equating the two: $V \cdot \rho_{i} \cdot g = V_{sub} \cdot \rho_{w} \cdot g$The fraction of the volume submerged is $\frac{V_{sub}}{V} = \frac{\rho_{i}}{\rho_{w}}$.Given $\rho_{i} = 0.917 \ g \ cm^{-3}$ and $\rho_{w} = 1.00 \ g \ cm^{-3}$.Therefore,$\frac{V_{sub}}{V} = \frac{0.917}{1.00} = 0.917$.

An iceberg floats in water with part of it submerged. What is the fraction of the volume of the iceberg submerged,if the density of ice is $\rho_{i} = 0.917 \ g \ cm^{-3}$ and the density of water is $\rho_{w} = 1.00 \ g \ cm^{-3}$?

Similar Questions

$A$ cube of ice floats partly in water and partly in kerosene oil. Find the ratio of the volume of ice immersed in water to that in kerosene oil. (Specific gravity of kerosene oil $= 0.8$, specific gravity of ice $= 0.9$)

The weight of a body in water is one-third of its weight in air. The density of the body is ....... $g/cm^3$. (in $.5$)

An ice block contains a glass ball. When the ice melts within a vessel containing water,the level of the water

$A$ solid cube and a solid sphere,both made of the same material,are completely submerged in water but at different depths. The sphere and the cube have the same surface area. The buoyant force is

An object weighs $m_1$ in a liquid of density $d_1$ and $m_2$ in a liquid of density $d_2$. The density $d$ of the object is

Vedclass Test Series

Exam Paper Generator

Online Exam Module