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## 2.101 Buoyant force on a cylinder

Problem 2.101: A cylinder of radius $R$ is kept embedded along the wall of a container of water of density $\rho$. Length of the cylinder is $L$. Determine the vertical force exerted by water on the cylinder. Solution: The cylinder is completely immersed in water. The...

## 2.100 Compressibility of a liquid

Problem 2.100: Find the pressure that must be applied to water at atmospheric pressure to reduce its volume by $1\:%$ .Take compressibility of water $=0.5\times 10^{-9} \:Pa^{-1}$. Solution: Compressibility of a liquid is the measure of change in volume under external...

## 2.97 Thermal expansion of a sphere

Problem 2.97:The radius of a metal sphere at room temperature $T$ is $R$, and the coefficient of linear expansion of the metal is $\alpha$ . The sphere is heated a little by a temperature $\triangle\:T$  so that its new temperature is $T\:+\:\triangle\:T$ . Find the...

## 2.96 Pressure in a liquid

Problem 2.96: An open container has water to a depth of $2\:m$ and above this an oil of relative density $0.9$ for a depth of $1\:m$. Find the pressure at the interface of two liquids. Take density of water $=\: 10^3\:kg\:m^3$, acceleration due to gravity...