Heat is flowing through a conductor of length $l$ from $x = 0$ to $x = l$. If its thermal resistance per unit length is uniform,which of the following graphs correctly represents the variation of temperature $T$ with distance $x$?

The temperature gradient in a rod of $0.5 \ m$ long is $80 \ ^oC/m$. If the temperature of the hotter end of the rod is $30 \ ^oC$,then the temperature of the cooler end is ...... $^oC$.

Heat flows through a rod of length $50 \ cm$ and cross-sectional area $5 \ cm^{2}$. Its ends are maintained at $25 \ ^\circ C$ and $125 \ ^\circ C$ respectively. The thermal conductivity of the material of the rod is $0.092 \ kcal/m \cdot s \cdot ^\circ C$. The temperature gradient of the rod is ....... $^\circ C/cm$.

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?

$A$ thermocouple is an arrangement of two different metals to :-

Heat flows through a long metallic rod from one end to the other under steady-state conditions. The variation of temperature $\theta$ with distance $x$ from the hot end is shown in which of the following graphs?