n incandescent lightbulb contains a tung-sten filament that reaches a temperature of about 3020 K, roughly half the surface temperature of the Sun. (a) Treating the filament as a blackbody, determine the frequency for which its radiation is a maximum. (b) Do you expect the lightbulb to radiate more energy in the visible or in the infrared part of the spectrum? Explain.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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An incandescent lightbulb contains a tung-sten filament that reaches a temperature of about 3020 K, roughly half the surface temperature of the Sun. (a) Treating the filament as a blackbody, determine the frequency for which its radiation is a maximum. (b) Do you expect the lightbulb to radiate more energy in the visible or in the infrared part of the spectrum? Explain.
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To find the wavelength corresponding to the maximum radiation from the tungsten filament in the incandescent lightbulb, we can use Wien's displacement law which relates the wavelength of maximum radiation to the temperature of the blackbody. The law is given by:

λ_max = b / T

where λ_max is the wavelength of maximum radiation, b is the Wien displacement constant (2.898 × 10^-3 m K), and T is the temperature of the blackbody in Kelvin.

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