The law used in the measurement of the temperature of stars is .........

The wavelength of maximum intensity of radiation emitted by a star is $289.8 \, nm$. The radiation intensity for the star is: (Stefan's constant $\sigma = 5.67 \times 10^{-8} \, W m^{-2} K^{-4}$,Wien's constant $b = 2898 \, \mu m \cdot K$)

If a black wire of platinum is heated, its colour first appears red, then yellow, and finally white. This can be understood on the basis of:

Which graph represents the $v_m - T$ relationship for a black body,where $v_m$ is the frequency corresponding to the maximum energy emission and $T$ is the absolute temperature?

The wavelength of maximum energy,released during an atomic explosion,was $2.93 \times 10^{-10} \ m$. Given that the Wien's constant is $2.93 \times 10^{-3} \ m \ K$,the maximum temperature attained must be of the order of

The wavelengths corresponding to the maximum intensity of radiation emitted by the Sun and the Moon are $0.5 \times 10^{-6} \ m$ and $10^{-4} \ m$ respectively. The ratio of their temperatures is: