The intensity of radiation emitted by the sun has its maximum value at a wavelength of $510\,nm$ and that emitted by the north star has the maximum value at $350\,nm$. If these stars behave like black bodies, then the ratio of thesurface temperature of the sun and north star is
$1.46$
$0.69$
$1.21$
$0.83$
The spectrum of a black body at two temperature $27\,^oC$ and $327\,^oC$ is shown in the figure. Let $A_1$ and $A_2$ be the areas under the two curves respectively. The value of $\frac {A_2}{A_1}$ is
Two rods of same length and material transfer a given amount of heat in $12\, seconds$, when they are joined end to end. But when they are joined in series, then they will transfer same heat in same conditions in ......... $\sec$
A body cools from $60\,^oC$ to $50\,^oC$ in $10\, minutes$. If the room temperature is $25\,^oC$ and assuming Newton's law of cooling to hold good, the temperature of the body at the end of the next $10\, minutes$ will be ....... $^oC$
If the wavelengths of maximum intensity of radiations emitted by the sun and the moon are $0.5\times10^{-6}\, m$ and $10^{-4}\,m$ respectively. The ratio of their temperatures 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