A liquid with coefficient of volume expansion $\gamma$ is filled in a container of a material having the coefficient of linear expansion $\alpha$. If the liquid overflows on heating, then
$\gamma = 3 \alpha$
$\gamma > 3 \alpha$
$\gamma < 3 \alpha$
$\gamma > 3 \alpha^3$
A circular metallic disc of radius $R$ has a small circular cavity of radius $r$ as shown in figure. On heating the system
Density of substance at $0°C$ is $10\, gm/cc$ and at $100°C,$ its density is $9.7\, gm/cc$. The coefficient of linear expansion of the substance will be
What is volume expansion ? Give definition and unit of coefficient of volume expansion.
A steel meter scale is to be ruled so that millimeter intervals are accurate within about $5 \times 10^{-5}$ $mm$ at a certain temperature. The maximum temperature variation allowable during the ruling is .......... $^oC$ (Coefficient of linear expansion of steel $ = 10 \times {10^{ - 6}}{K^{ - 1}})$
Water is fully filled in a container at $4\,{}^oC$, then