Which of the following graph shows the correct variation in intensity of heat radiations by black body and frequency at a fixed temperature:

A metallic sphere having radius $0.08 \mathrm{m}$ and mass $\mathrm{m}=10 \mathrm{kg}$ is heated to a temperature of $227°\mathrm{C}$ and suspended inside a box whose walls are at a temperature of $27°\mathrm{C}.$ The maximum rate at which its temperature will fall is:-

(Take $e=1,$ Stefan's constant $\sigma =5.8\times {10}^{-8} {\mathrm{Wm}}^{-2}{\mathrm{K}}^{-4}$ and specific heat of the metal $\mathrm{s}=90 {\mathrm{cal}}^{-1}{\mathrm{kg}}^{-1}\mathrm{deg}$ $\mathrm{J}=4.2$ Joules/Calorie)

A spherical body with an initial temperature $T_1$ is allowed to cool in surroundings at temperature $T_0\left(<T_1\right)$. The mass of the body is $m$, its gram specific heat is $c$, density $\rho$, area $A$. If $\sigma$ be the Stefan's constant then the temperature $T$ of the body at time $t$ can be best represented by:-