Question

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

• A. $4 \times 10^{-5} /{ }^{\circ} C$
• B. $>3 \times 10^{-5} /{ }^{\circ} C$
• C. $\leq 3 \times 10^{-5} / C$
• D. Data is insufficient

Answer 1

Answer: (C)

Expansion in $Hg$ volume $\leq$ expansion in container.
$\Rightarrow $ Volume coefficient of $Hg \leq 3 \times$ Linear coefficient of expansion of vessel
$ \leq 3 \times 1 \times 10^{-5} /{ }^{\circ} C $
$ \gamma_{H g} \leq 3 \times 10^{-5} /{ }^{\circ} C$