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

A ring consisting of two parts $\mathrm{ADB}$ and $\mathrm{ACB}$ of same conductivity $k$ carries an amount of heat $H$. The $\mathrm{ADB}$ part is now replaced with another metal keeping the temperatures $T_1$ and $T_2$ constant. The heat carried increases to $2H$. What should be the conductivity of the new $\mathrm{ADB}$ part? Given $\frac{\mathrm{ACB}}{\mathrm{ADB}}=3$

A sphere of ice at $0°\mathrm{C}$ having initial radius $R$ is placed in an environment having ambient temperature $>0°\mathrm{C}$. The ice melts uniformly, such that shape remains spherical. After a time '$t$' the radius of the sphere has reduced to $r$. Which graph best depicts $r\left(t\right)$:

Three bodies $A,B$ and $C$ have equal surface area and thermal emissivities in the ratio $e_A:e_B:e_C=1:\frac{1}{2}:\frac{1}{4}$. All the three bodies are radiating at same rate. Their wavelengths corresponding to maximum intensity are ${\lambda }_A,{\lambda }_B$ and ${\lambda }_C$ respectively and their temperatures are $T_A,T_B$ and $T_c$ on kelvin scale, then select the incorrect statement