A uniform cylindrical rod of length $L$ and radius $r$, is made from a material whose Young's modulus of Elasticity equals $Y$. When this rod is heated by temperature $T$ and simultaneously subjected to a net longitudinal compressional force $F$, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equals to

The coefficient of volume expansion of glycerin is $49 \times 10^{-5} \,K ^{-1}$. The fractional change in the density on a $30^{\circ} C$ rise in temperature is ……….

A glass flask is filled up to a mark with $50\, cc$ of mercury at $18°C.$ If the flask and contents are heated to $38°C.$ ……… $cc$ mercury will be above the mark $?$ $(\alpha$ for glass is $ 9 × 10^{-6}{°}C^{-1}$ and coefficient of real expansion of mercury is $180 × 10^{-6}{°}C^{-1})$ 

A block of wood is floating on water at $0^{\circ} C$ with volume $V_0$ above water. When the temperature of water increases from $0$ to $10^{\circ} C$, the change in the volume of the block that is above water is best described schematically by the graph.

The volume of a metal sphere increases by $0.24\%$ when its temperature is raised by $40°C$. The coefficient of linear expansion of the metal is ………. $°C$