A black body at 227 degree celsius radiates heat

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A black body at 227°C radiates heat at the rate of 7 cals/cm² s. At a temperature of 727°C, the rate of heat radiated in the same units will be(a) 50(b) 112(c) 80(d) 60

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Answer:

B) 112

Explanation:

Temperature of body = 227°C

Heat rate = 7 cals/cm² s

Rate of heat radiated at ( 227+273)K = 7 cals/cm²/s

Let rate of heat radiated at ( 727+273)K = x cals/cm²/s

Applying Stefans law of radiation according to which E = σ T4

Hence, E1 / E2 = (T1 / T2)4

E2 = E1 (T2 / T1)4

= 7 [ (727 + 273) / (227 + 273)]4

= 7 (1000/500)4

= 112 cal/cm²/s

Thus, the rate of heat radiated in the same units will be 112


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