Exercise 1: (a) What is the surface temperature of Betelgeuse, a red giant star

Question

Exercise 1: (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which radiates with a peak wavelength of about 970 nm? _________ K (b) Rigel, a bluish-white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel's surface. ___________ K

Exercise 2: The temperature of a student's skin is 33.0°C. At what wavelength does the radiation emitted from the skin reach its peak? ___________ micrometers

(a) Assuming the Sun's surface emits as a black body, calculate its surface temperature. ___________ K (b) Using the result of part (a), find max for the Sun. ___________ nm

Explanation / Answer

By, Wien's displacement law,

T = b = 2897768nmK

Exercise 1: (a) T = b/

T = 2987.39 K

Exercise 1: (b) T = b/

T = 19984.61 K

Exercise 2:

max = b/T

b = wein's constant = 2.897*10^-3 m-K

max = b/(273+33) = 9.4673*10^-6m

the wavelength when the radiation emitted from the skin reach its peak max = 9.4673 m

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