The surface temperature of the sun which has maximum energy emission at $500\, nm$ is $6000\, K$. The temperature of a star which has maximum energy emission at $400\, nm$ will be ........ $K$

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 $2.9 \times 10^{-3}\ mK$ , what is the approximate temperature of the object ........ $K$.

The temperature of furnace is $200\,^oC$, in its spectrum the maximum intensity is obtained at about $400\,\mathop A\limits^o $, If the maximum intensity is at $200\,\mathop A\limits^o $. Calculate the temperature of the furnace in ${}^oC$.  ......... $^oC$

Two rods of same length and material transfer a given amount of heat in $12\,s,$ when they are joined end to end. But when they are joined lengthwise, then they will transfer same heat in same conditions in .......... $\sec$

Solar radiation emitted by the sun resembles that emitted by a black body at a temperature of $6000\, K$. Maximum intensity is emitted at a wavelength of about $4800\,\mathop A\limits^o $. If the sun was cooled down from $6000\, K$ to $3000\, K$, then the peak intensity would occur at a wavelength of ......... $\mathop A\limits^o $

Three metal rods of the same material an identical in all respects are joined as shown in the figure. The temperatures at the ends are maintained as indicated. Assuming no loss of heat from the curved surfaces of the rods, the temperature at the junction $X$ would be ....... $^oC$