What is $\alpha _V$ ? On what value of $\alpha _V$ depends ? Write its unit.

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The scale on a steel metre stick is calibrated at $20^o\,C$.The error in the reading of $50\,cm$ at $30^o\,C$ is: (take linear expansion coefficient of steel $= 1.0 \times 10^{-5} /  ^oC)$

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 $\alpha_{copper}$  = $17 \times {10^{ - 6}}per\,^\circ C$)

An open vessel is filled completely with oil which has same coefficient of volume expansion as that of the vessel. On heating both oil and vessel,

Coefficient of linear expansion of a vessel completely filled with $Hg$ is $1 \times 10^{-5} /{ }^{\circ} C$. If there is no overflow of $Hg$ on heating the vessel, then coefficient of cubical expansion of $Hg$ is ......

If two rods of length $L$ and $2L$ having coefficients of linear expansion $\alpha$ and $2\alpha$ respectively are connected so that total length becomes $3L$, the average coefficient of linear expansion of the composition rod equals: