A rod of length $2m$ rests on smooth horizontal floor. If the rod is heated from $0^o C$ to $20^o C$. Find the longitudinal strain developed? $(\alpha = 5 × 10^{-5}/^o C)$

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 ?

Obtain relation between coefficient of volume expansion $(\alpha _v)$ and coefficient of linear expansion $(\alpha _l)$.

A steel rod of diameter $1\,cm$ is clamped firmly at each end when its temperature is $25\,^oC$ so that it cannot contract on cooling. The tension in the rod at $0\,^oC$ is approximately ......... $N$ $(\alpha = 10^{-5}/\,^oC,\,\,Y = 2 \times 10^{11}\,N/m^2)$

A bimetallic strip consists of metals $X$ and $Y$. It is mounted rigidly at the base as shown. The metal $X$ has a higher coefficient of expansion compared to that for metal $Y$. When the bimetallic strip is placed in a cold bath:

A solid cube is first floating in a liquid. The coefficient of linear expansion of cube is $\alpha$ and the coefficient of volume expansion of liquid is $\gamma$. On increasing the temperature of (liquid + cube) system, the cube will sink if