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Prevost's theory of heat exchange tells that a body radiates thermal energy-

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The famous Stefan's law of radiation states that the rate of emission of thermal radiation per unit by a black body is proportional to area and fourth power of its absolute temperature that is Q=sigmaAT^(4) where A = area, T = temperature and sigma is a universal constant. In the 'energy-length-time temperature' (E-L-T-K) system the dimension of sigma is

State and give mathematical expressions for Stefan's law of black body radiation.

A highly conducting solid sphere of radius R density rho and specific heat s is kept in an evacuted chamber. A parallel beam of thermal radiation of instensity I is incident on its surfcae Consider the sphere to be a perfectly black body and its temperature at certain instant considered at t =0 is T_(0) [Take Stefan's constant as sigma ] Answer the following questions based on above information The equation which gives the temperature T of the sphere as a function of time is .

A highly conducting solid sphere of radius R density rho and specific heat s is kept in an evacuted chamber. A parallel beam of thermal radiation of instensity I is incident on its surfcae Consider the sphere to be a perfectly black body and its temperature at certain instant considered at t =0 is T_(0) [Take Stefan's constant as sigma ] Answer the following questions based on above information The maximum attainable temperature of the sphere is .

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