A two-color pyrometeris a device that is used to mea-sure

Chapter 12, Problem 12.89

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A two-color pyrometeris a device that is used to mea-sure the temperature of a diffuse surface, Ts. The devicemeasures the spectral, directional intensity emitted bythe surface at two distinct wavelengths separated by ?.Calculate and plot the ratio of the intensitiesI?? ?,e(?? ?, , , Ts) and I?,e(?, , , Ts) as a func-tion of the surface temperature over the range500 KTs1000 K for ??5?m and ??0.1, 0.5,and 1?m. Comment on the sensitivity to temperatureand on whether the ratio depends on the emissivity ofthe surface. Discuss the tradeoffs associated with speci-fication of the various values of ?. Hint: The changein the emissivity over small wavelength intervals ismodest for most solids, as evident in Figure 12.17.

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