A steel rail of length $5\,m$ and area of cross-section $40\,cm^2$ is prevented from expanding along its length while the temperature rises by $10\,^oC$. If coefficient of linear expansion and Young's modulus of steel are $1.2\times10^{-5}\, K^{-1}$ and $2\times10^{11}\, Nm^{-2}$ respectively, the force developed in the rail is approximately

A brass wire $1.8\; m$ long at $27\,^{\circ} C$ is held taut with little tension between two rigid supports. If the wire is cooled to a temperature of $-39\,^{\circ} C ,$ what is the tension developed in the wire, if its diameter is $2.0 \;mm$ ? Co-efficient of Itnear expansion of brass $=2.0 \times 10^{-5}\; K ^{-1} ;$ Young's modulus of brass $=0.91 \times 10^{11} \;Pa$

Water falls from a height $500m$. What is the rise in temperature of water at bottom if whole energy remains in the water ........... $^\circ \mathrm{C}$

Surface of the lake is at $2°C$. Find the temperature of the bottom of the lake........ $^oC$

In an experiment to find the liquid expansion coefficient $(\gamma)$ a column. of experimental liquid at $T\,^oC$ is balanced against another column of experimental liquid at $0\, ^o C$ by taking them in $U-$ tube. The expansion coefficient $(\gamma)$ is ?

Give the value of coefficient of volume expansion at $0\,^oC$ for ideal gas.