At some temperature $T$, a bronze pin is a little large to fit into a hole drilled in a steel block. The change in temperature required for an exact fit is minimum when

Give name of substance that contracts with increase in temperature.

An ideal gas is expanding such that ${PT}^{3}=$ constant. The coefficient of volume expansion of the gas is:

Two rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature will be

( ${\alpha _1},\,{\alpha _2},$ = linear expansion coefficient

$A_1, A_2$ = Area of rods

$Y_1, Y_2$ = Young modulus)

A solid cube is first floating in a liquid. The coefficient of linear expansion of cube is $\alpha$ and the coefficient of volume expansion of liquid is $\gamma$. On increasing the temperature of (liquid + cube) system, the cube will sink if

Why the coefficient of volume expansion is zero for water at $4\,^oC$?