The value of the temperature gradient is $80\,^{\circ}C/m$ on a rod of $0.5\,m$ length. If the temperature of the hot end is $30\,^{\circ}C$, what is the temperature of the cold end?

For heat to flow from one end to the other in a solid,it is necessary to have:

The radius of a conductor increases uniformly from the left end to the right end as shown in the figure. The material of the conductor is isotropic,and its curved surface is thermally isolated from the surroundings. Its ends are maintained at temperatures $T_1$ and $T_2$ $(T_1 > T_2)$. If,in a steady state,the heat flow rate is equal to $H$,then which of the following graphs is correct?

If it takes $7 \, h$ to form a $1 \, cm$ thick layer of ice on a pond at $0^o C$,how many hours will it take for the thickness of the ice layer to increase from $1 \, cm$ to $2 \, cm$?

What is thermal steady state?

In a steady state,the temperature at the end $A$ and end $B$ of a $20 \ cm$ long rod $AB$ are $100^{\circ} C$ and $0^{\circ} C$. The temperature of a point,$9 \ cm$ from $A$ is (in $^{\circ} C$)