Two identical bodies have temperatures 277^ C and 67^ C . If the surroundings temperature is 27^ C , the ratio of loss of heats of the two bodies during the same interval of time is (approximately)

Step-by-step solution

aligned & T₁=277^ =277+273=550 ~K & T₂=67^ C =67+273=340 ~K aligned Temperature of surrounding, T=27^ C =27+273=300 ~K aligned Ratio of loss of heat & = T₁^4-T^4 T₂^4-T^4 & = ( T₁ T₂ )^4-1 ( T₂ T₁ )^4-1 = ( 550 300 )^4-1 ( 340 300 )^4-1 & = 9.5 0.5 = 19 1 aligned