Six identical rods are arranged as shown in the figure. The temperature of the junction $B$ will be......... $^oC$

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 identical conducting rods are first connected independently to two vessels, one containing water at $100^o\ C$ and the other containing ice at $0^o\  C$. In the second case, the rods are joined end to end and connected to the same vessels. Let $q_1$ and $q_2\  g/s$ be the rate of melting of ice in the two cases respectively. The ratio $q_2/q_1$ is

Three rods $A, B,$ and $C$ of thermal conductivities $K, 2K$ and $4K$, cross-sectional areas $A, 2A$ and $2A$ 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 body cools from $62\,^oC$ to $50\,^oC$ in $10\, minutes$ and to $42\,^oC$ in next $10\, minutes$. The temperature of the surrounding is ........... $^oC$

Two stars emit maximum radiation of wavelength $3600\,\mathop A\limits^o $  and $4800\,\mathop A\limits^o $  respectively. The ratio of their temperatures is