Answer the following. (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which radiates with

Question

Answer the following. (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

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Bơ 4 years 2021-08-13T07:01:50+00:00 1 Answers 172 views 0

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  1. diemthu
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    2021-08-13T07:03:21+00:00
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    Answer:

    (a) T = 2987.6 k

    (b) T = 19986.2 k

    Explanation:

    The temperature of a star in terms of peak wavelength can be given by Wein’s Displacement Law, which is as follows:

    T = \frac{0.2898\ x\ 10^{-2}\ m.k}{\lambda_{max}}

    where,

    T = Radiated surface temperature

    \lambda_{max} = peak wavelength

    (a)

    here,

    \lambda_{max} = 970 nm = 9.7 x 10⁻⁷ m

    Therefore,

    T = \frac{0.2898\ x\ 10^{-2}\ m.k}{9.7\ x\ 10^{-7}\ m}

    T = 2987.6 k

    (b)

    here,

    \lambda_{max} = 145 nm = 1.45 x 10⁻⁷ m

    Therefore,

    T = \frac{0.2898\ x\ 10^{-2}\ m.k}{1.45\ x\ 10^{-7}\ m}

    T = 19986.2 k

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