Approximations to Plancks law for the spectral emissive

Chapter , Problem 12.27

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Approximations to Plancks law for the spectral emissive power are the Wien and Rayleigh-Jeans spectral distributions, which are useful for the extreme low and high limits of the product T, respectively. (a) Show that the Planck distribution will have the form when C2 /T 1 and determine the error (compared to the exact distribution) for the condition T 2898 m K. This form is known as Wiens law. E, b) Show that the Planck distribution will have the form when C2 /T 1 and determine the error (compared to the exact distribution) for the condition T 100,000 m K. This form is known as the Rayleigh-Jeans law.

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