$A$ hot black body emits energy at the rate of $16 \ J \ m^{-2} \ s^{-1}$ and its most intense radiation corresponds to $20,000 \ \mathring{A}$. When the temperature of this body is further increased and its most intense radiation corresponds to $10,000 \ \mathring{A}$,then the energy radiated in $J \ m^{-2} \ s^{-1}$ will be

Power radiated by a black body at temperature $T_1$ is $P$ and it radiates maximum energy at a wavelength $\lambda_1$. If the temperature of the black body is changed from $T_1$ to $T_2$, it radiates maximum energy at a wavelength $\frac{\lambda_1}{2}$. The power radiated at $T_2$ is (in $P$)

Three discs $A, B$ and $C$ having radii $2\; m, 4\; m,$ and $6\; m$ respectively are coated with carbon black on their outer surfaces. The wavelengths corresponding to maximum intensity are $300\; nm, 400\; nm$ and $500\; nm$ respectively. The power radiated by them are $Q_A, Q_B$ and $Q_C$ respectively. Which of the following is true?

Three discs $x, y$ and $z$ having radii $2 \ m, 2 \ m$ and $6 \ m$ respectively are coated on their outer surfaces. If the wavelengths corresponding to the maximum power radiated by them are $3 \ \mu m, 4 \ \mu m$ and $5 \ \mu m$ respectively,then which of the following is true regarding the power radiated $(P)$?

Four rods of identical cross-sectional area and made from the same metal form the sides of a square. The temperatures of two diagonally opposite points $A$ and $B$ are $\sqrt{2}T$ and $T$ respectively in the steady state. Assuming that only heat conduction takes place,what will be the temperature difference between the other two points $C$ and $D$?

Differentiate clearly between thermal conduction,thermal convection,and thermal radiation.