A glass flask contains some mercury at room temperature. It is found that at different temperatures the volume of air inside the flask remains the same. If the volume of mercury in the flask is $300 \,\,cm^3$, then volume of the flask is ........ $cm^3$. (given that coefficient of volume expansion of mercury and coefficient of linear expansion of glass are $1.8 × 10^{-4} (^o C)^{-1}$ and $9 × 10^{-6} (^o C)^{-1}$ respectively)

The coefficient of apparent expansion of a liquid when determined using two different vessels $A$ and  $B$ are $\gamma_1$ and $\gamma_2$ respectively. If the coefficient of linear expansion of vessel  $A$  is $\alpha$, the coefficient of linear expansion of vessel $B$ is

A steel scale measures the length of a copper wire as $80.0\,cm,$ when both are at $20^\circ C$ (the calibration temperature for scale). What would be the scale read for the length of the wire when both are at $40^\circ C$ $?$ (Given $\alpha_{steel} $ = $11 \times {10^{ - 6}}$per$°C$ and $\alpha_{copper}$  = $17 \times {10^{ - 6}}per\,^\circ C$)

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 ?

What will happen if a rod is tied with fixed supports rigidly at both ends and temperature is increased ?

An external pressure $P$ is applied on a cube at $0^o C$ so that it is equally compressed from all sides. $K$ is the bulk modulus of the material of the cube and a is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by