The distribution of relative intensity $I (\lambda )$ of blackbody radiation from a solid object versus the wavelength $\lambda $ is shown in the figure. If the Wien displacement law constant is $2.9 × 10^{-3}\ mK$ , what is the approximate temperature of the object ....... $K$.

Two rods of same length and same area of cross section are joined

Temperature of two ends are as shown in figure. As we move along the rod, temperature are as shown in following

The rate of dissipation of heat by a black body at temperature $T$ is $Q$. What will be  the rate of dissipation of heat by another body at temperature $2\,T$ and emissivity $0.25$ ?

Three rods $A, B,$ and $C$ of thermal conductivities $K, 2K$ and $4K$ and equal, cross-sectional areas and lengths $2l, l$ and $l$ respectively are connected as shown in the figure. If the ends of the rods are maintained at temperatures $100\ ^oC, 50\ ^oC,$ and $0\ ^oC$ respectively, then the temperature $\theta$ of the junction is

A cylindrical metallic rod, in thermal contact with two reservoirs of heat at its two ends, conducts an amount of heat $Q$ in time $t.$ The metallic rod is melted and the  material is formed into a rod of half the radius of the original rod. Amount of heat  conducted by the new rod, when placed in thermal contact with same two reservoirs in  time $t$ , is

Certain quantity of water cools from $70\,^oC$ to $60\,^oC$ in the first $5\, minutes$ and  to $54\,^oC$ in the next $5\, minutes$. The temperature of the surroundings is......... $^oC$