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 ...... $^oC$.

$A$ rod of length $50 \, cm$ has one end at $25^oC$ and the other end at $125^oC$. The temperature gradient is ....... $^oC/cm$.

$A$ thin paper cup filled with water does not catch fire when placed over a flame. This is because

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 ....... $^\circ C/cm$.

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?

In the steady state,the temperature of a body ...