Calculate wavelength lambda_max where these stars have themost intennse emission

Question

Calculate wavelength lambda_max where these stars have themost intennse emission or radiation, assume that they behave asblack bodies. Betelgeuse (Surface temperature T = 3400 K) Aldebaran (Surface temperature T = 4000 K) Sirius (Surface temperature T = 10,000 K) Rigel (Surface temperature T = 12,000 K) Sirius B (Surface temperature T = 25,000 K) Which color do you expect each of the stars to have? Compare the results to the wavelength lambda_max of a radiatorwhich is at temperature T = 65 C. Calculate wavelength lambda_max where these stars have themost intennse emission or radiation, assume that they behave asblack bodies. Betelgeuse (Surface temperature T = 3400 K) Aldebaran (Surface temperature T = 4000 K) Sirius (Surface temperature T = 10,000 K) Rigel (Surface temperature T = 12,000 K) Sirius B (Surface temperature T = 25,000 K) Which color do you expect each of the stars to have? Compare the results to the wavelength lambda_max of a radiatorwhich is at temperature T = 65 C.

Explanation / Answer

Surface temperature of Betelgeuse T = 3400 K From Wein's displacement law T = b where b =wein's constant = 2.897 * 10 ^ -3 m K So, maximum wavelength = b / T                                         = 8.5205 * 10 ^ -7 m                                         = 852.05 * 10 ^ -9 m                                         ~ 852 nm Star have red colour   [ by using wavelength andcolour chart ] similarly you do next ones

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