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The deflection d was always found to vary as Thus the Stefan's law was verified. Stefan-Boltzmann Law : According to Stefan-Boltzmann law, the radiant energy (heat) lost per second per unit area by Mathematical Physics a black body at absolute temperature T, surrounded by an enclosure at temperature To, is given by E= Let us suppose that T is greater than T0 by only a small amount x. Then we can put T = (T0 +x). Then E= = Now x is small say 30° whereas T0 is 300 K for a room temperature of 27 °C (say).
Thus the radiation from B fell on the bolometer. The deflection of the galvanometer, d , was read. Let To be the temperature of the shutter S'. According to the inverse-square law, the radiant energy received by the bolometer from the body B is the same as would have been if the temperature of the shutter S' itself were raised from To to T. e. To = 290 K). The body B was raised to different temperatures, T, and corresponding deflections, d, were read. The deflection d was always found to vary as Thus the Stefan's law was verified.
But the radiation is proportional to the fourth power of the absolute temperature. Therefore , if T be the true temperature of the body and T1 that indicated by the pyrometer, then = Principle of an Optical Pyrometer : In an optical pyrometer, the intensity of radiation of a certain wavelength emitted by a hot body is compared with that of the radiation of the same wave-length emitted by a standard body. The instrument is adjusted until the two intensities are equal. The temperature of the hot body must then be equal to that of the standard body.