A two-color pyrometer is a device that is used to measure

Chapter , Problem 12.89

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A two-color pyrometer is a device that is used to measure the temperature of a diffuse surface, Ts. The device measures the spectral, directional intensity emitted by the surface at two distinct wavelengths separated by . Calculate and plot the ratio of the intensities I ,e( , , , Ts) and I,e(, , , Ts) as a function of the surface temperature over the range 500 K Ts 1000 K for 5 m and 0.1, 0.5, and 1 m. Comment on the sensitivity to temperature and on whether the ratio depends on the emissivity of the surface. Discuss the tradeoffs associated with speci- fication of the various values of . Hint: The change in the emissivity over small wavelength intervals is modest for most solids, as evident in Figure 12.17. Lt = 1 m

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