Two large holes are cut in a metal sheet. If this is heated, distances $AB$ and $BC$, (as shown)

$2\,kg$ of metal at $100\,^oC$ is cooled by $1\,kg$ of water at $0\,^oC$ . If specific heat capacity of metal is $\frac {1}{2}$ of specific heat capacity of water, final temperature of mixture would be

A solid cube having certain fixed melting and boiling points takes heat from some source. The variation of temperature $\theta$ of the cube with the heat supplied $Q$ is shown in the adjoining graph. The portion $BC$ of the graph represents the conversion of

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 $40\,^oC$ in its temperature, is

On a new scale of temperature (which is linear) and called the $W$ scale, the freezing and boiling points of water are $39\,^oW$ and $239\,^oW$ respectively. What will be the temperature on the new scale, corresponding to a temperature of $39\,^oC$ on the Celsius scale ? ............. $^\circ \mathrm{W}$

A cylindrical metal rod of length $L_0$ is shaped into a ring with a small gap as shown. On heating the system