For a small temperature difference between the body and the surroundings the relation between the rate of loss heat $R$ and the temperature of the body is depicted by

Two bodies $A$ and $B$ of same mass, area and surface finish with specific heats $S_A$ and $S_B\left(S_A > S_B\right)$ are allowed to cool for given temperature range. Temperature varies with time as ……….

A hot body, obeying Newton's law of cooling is cooling down from its peak value $80\,^oC$ to an ambient temperature of $30\,^oC$ . It takes $5\, minutes$ in cooling down from $80\,^oC$ to $40\,^oC$.  ……..  $\min.$ will it take to cool down from $62\,^oC$ to $32\,^oC$ ? (Given $ln\, 2\, = 0.693, ln\, 5\, = 1.609$)

The top of a lake gets frozen at a place where the surrounding air is at a temperature of $-20\,^oC$. Then

A body cools from $60^{\circ} C$ to $40^{\circ} C$ in $6$ minutes. If, temperature of surroundings is $10^{\circ} C$. Then, after the next 6 minutes, its temperature will be $………{ }^{\circ} C$.