AskIITians Expert Hari Shankar IITD
Last Activity: 15 Years ago
There is an inverse relationship between the wavelength of the peak of the emission of a black body and its temperature, and this less powerful consequence is often also called Wien's displacement law

where
λmax is the peak wavelength in meters,
T is the temperature of the blackbody in kelvins (K), and
b is a constant of proportionality
We can consider the star and the furnace both as blackbodies for this question.
(λmax)(T) = b in both cases.
Theresfore, (λmax)(T) for the furnace = (λmax)(T) for the star
Then, for the furnace, λmax = 12000 A = 1.2e-6 m and T =2324 C = 2597 K
For the star, (λmax) = 4800 A = 4.8e-7 m
Hence , Tstar = (1.2e-6)(2597)/(4.8e-7) = 6492.5 K