Two objects made of the same material have masses $m$ and $2 m$ and are at temperatures $2 T$ and $T$ respectively. When heat $Q$ is supplied to the object of mass $2 m$, its temperature raises to $2 T$. If the same heat is supplied to the object of mass $m$, its temperature raises to

On a new temperature scale, the melting point of ice is $20^{\circ} \mathrm{X}$ and the boiling point of water is $110^{\circ} \mathrm{X}$. A temperature of $40^{\circ} \mathrm{C}$ would be indicated on this new temperature scale as

The percentage of heat supplied to a diatomic ideal gas that is converted into work in an isobaric process is