The density of water at $20^oC$ is $0.998 \, g/cm^3$ and at $40^oC$ is $0.992 \, g/cm^3$. The mean coefficient of cubical expansion (in per $^oC$) is:

Give the name of a substance that contracts with an increase in temperature.

The real coefficient of volume expansion of glycerine is $0.000597 \text{ /}^{\circ}\text{C}$ and the linear coefficient of expansion of glass is $0.000009 \text{ /}^{\circ}\text{C}$. The apparent volume coefficient of expansion of glycerine is:

$A$ glass flask of volume $1 \, L$ at $0^{\circ}C$ is filled level full of mercury at this temperature. The flask and mercury are now heated to $100^{\circ}C$. How much mercury (in $cc$) will spill out,if the coefficient of volume expansion of mercury is $1.82 \times 10^{-4} \, ^{\circ}C^{-1}$ and the coefficient of linear expansion of glass is $0.1 \times 10^{-4} \, ^{\circ}C^{-1}$?

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 ..........

With a rise in temperature,the density of a given body changes according to which of the following relations?