A blacksmith fixes iron ring on the rim of the wooden wheel of a horse cart. The diameter of the rim and the iron ring are $5.243\; m$ and $5.231\; m$, respectively at $27^oC$. To what temperature (in $^oC$) should the ring be heated so as to fit the rim of the wheel?

At what temperature (in $ ^{\circ} C$) a gold ring of diameter $6.230$ $cm$ be heated so that it can be fitted on a wooden bangle of diameter $6.241 \,cm$ ? Both the diameters have been measured at room temperature $\left(27^{\circ} C \right)$. (Given: coefficient of linear thermal expansion of gold $\alpha_{L}=1.4 \times 10^{-5} \,K ^{-1}$ )

A bimetallic strip consists of metals $A$ and $B$. It is mounted rigidly as shown. The metal $A$ has higher coefficient of expansion compared to that of metal $B$. When the bimetallic strip is placed in a cold both, it will :

A hole is drilled in a metal sheet. At $27^{\circ}\,C$, the diameter of hole is $5\,cm$. When the sheet is heated to $177^{\circ}\,C$, the change in the diameter of hole is $d \times$ $10^{-3}\,cm$. The value of $d$ will be $...........$ if coefficient of linear expansion of the metal is $1.6 \times$ $10^{-5} /{ }^{\circ}\,C$

The freezing point of the liquid decreases when pressure is increased, if the liquid

The value of coefficient of volume expansion of glycerin is $5 \times 10^{-4}k^{-1} .$ The fractional change in the density of glycerin for a rise of $40^o C$ in its temperature, is