R P Goyal and S P Tripathi Solutions for Chapter: Upthrust in Fluids, Archimedes' Principle and Floatation, Exercise 3: EXERCISE–5(C)

For a floating body, its weight $W$ and upthrust $F_B$, on it are related as :

A body of weight $W$ is floating in a liquid. Its apparent weight will be :

A body floats in a liquid $A$ of density ${\rho }_1$ with a part of it submerged inside liquid while in liquid $B$ of density ${\rho }_2$ totally submerged inside liquid. The densities ${\rho }_1$ and ${\rho }_2$ are related as :

A rubber ball floats on water with its $1/3^{\mathrm{rd}}$ volume outside water. What is the density of rubber?

A wooden cube of side $10 \mathrm{cm}$ has mass $700 \mathrm{g}$. What part of it remains above the water surface while floating vertically on the water surface ?

A piece of wax floats on brine. What fraction of its volume is immersed ?

$\text{Density of wax}=0.95 \mathrm{g} {\mathrm{cm}}^{-3}, \text{Density of brine}=1.1 \mathrm{g} {\mathrm{cm}}^{-3}$.

If the density of ice is $0.9 \mathrm{g} {\mathrm{cm}}^{-3}$, what portion of an iceberg will remain below the surface of water in a sea ? ($\text{Density of sea water}=1.1 \mathrm{g} {\mathrm{cm}}^{-3}$)

The density of ice is $0.92 \mathrm{g} {\mathrm{cm}}^{-3}$ and that of sea water is $1.025 \mathrm{g} {\mathrm{cm}}^{-3}$. Find the total volume of an iceberg which floats with its volume $800 {\mathrm{cm}}^3$ above water.