Two black bodies at temperature 327^(@)C and 427^(@)C are arranged in a box of 27^(@)C variable temperature of free space, the ratio of their rate of radiant energy is. . . . ..

Two black bodies at temperature 327^(@)C and 427^(@)C are arranged in

1.	Two black bodies at temperature 327^(@)C and 427^(@)C are arranged in a box of 27^(@)C variable temperature of free space, the ratio of their rate of radiant energy is. . . . ..
Answer» `6/7` `(36)/(49)` `(464)/(243)` `(243)/(464)` SOLUTION :From Stefan-Boltzmann law, `(dQ)/(dt)=eAsigma(T^(4)-T_(S)^(4))` `:.((dQ)/(dt))_(1)/((dQ)/(dt))_(2)=(T_(1)^(4)-T_(s)^(4))/(T_(2)^(4)-T_(S)^(4))` `T_(1)=273+327=600K` `T_(2)=273+427=700K` `:.((dQ)/(dt))_(1)/((dQ)/(dt))_(2)=((600)^(4)-(300)^(4))/((700)^(4)-(300)^(4))` `:.((dQ)/(dt))_(1)/((dQ)/(dt))_(2)=(10^(8)[(6)^(4)-(3)^(4)])/(10^(8)[(7)^(4)-(3)^(4)])` `=(1296-81)/(2401-81)` `=(1215)/(2320)` `=(243)/(464)`