Mukesh Kumar Gandhi Solutions for Chapter: Fluids, Exercise 2: ILLUSTRATIVE NUMERICALS

A cylindrical block has a mass of $435 \mathrm{g}$. Its length is $5.0 \mathrm{cm}$. Calculate the area of cross-section of the block in $\left({\mathrm{cm}}^2\right)$ . The density of the material of the cylinder is $8.7 \mathrm{g}/{\mathrm{cm}}^3$.

A block of wood is floating in water. The portion of the block inside water measures $50 \mathrm{cm}\times 50 \mathrm{cm}\times 50 \mathrm{cm}$. What is the magnitude of the buoyancy force acting on the block?

A solid of density $5000 {\mathrm{kgm}}^{-3}$ weighs $0.5 \mathrm{kg}$  in air. It is completely immersed in a liquid of density $800 {\mathrm{kgm}}^{-3}$. Calculate the apparent weight of the solid in the liquid.

The neck and bottom of a bottle have diameters $2 \mathrm{cm}$ and $8 \mathrm{cm}$ respectively. The bottle is completely filled with kerosene. If the cork in the neck is pressed with a force of $10 \mathrm{N}$ what force is exerted on the bottom of the bottle? Name the law/principle you have used to find this force.