A non-isotropic solid metal cube has coefficients of linear expansion as:
$5 \times 10^{-5} /^{\circ} \mathrm{C}$ along the $\mathrm{x}$ -axis and $5 \times 10^{-6} /^{\circ} \mathrm{C}$ along the $y$ and the $z-$axis. If the coefficient of volume expansion of the solid is $\mathrm{C} \times 10^{-6} /^{\circ} \mathrm{C}$ then the value of $\mathrm{C}$ is
$55$
$63$
$67$
$60$
The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is $1 : 4$. What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures ?
A solid ball is completely immersed in a liquid. The coefficients of volume expansion of the ball and liquid are $3 × 10^{-6}$ and $8 × 10^{-6} per ^o C$ respectively. The percentage change in upthrust when the temperature is increased by $100 ^o C$ is ....... $\%$
The apparent coefficient of expansion of a liquid when heated in a brass vessel is $X$ and when heated in a tin vessel is $Y$. If $\alpha$ is the coefficient of linear expansion for brass, the coefficient of linear expansion of tin is ..........
A steel tape $1 \;m$ long is correctly calibrated for a temperature of $27.0\,^{\circ} C .$ The length of a steel rod measured by this tape is found to be $63.0 \;cm$ on a hot day when the temperature is $45.0\,^{\circ} C .$ What is the actual length of the steel rod on that day ? What is the length of the same steel rod on a day when the temperature is $27.0\,^oC$? Coefficient of linear expansion of steel $=1.20 \times 10^{-5}\; K ^{-1}$
The density of water at $20^oC$ is $0.998\ gm/cm^3$ and at $40^oC$ is $0.992\ gm/cm^3$. The mean coefficient of cubical expansion (in per ${}^oC$) is