A black body radiates heat energy at the rate of 2×105J-s−1m−2 at a temperature of 127∘C. The temperature of black body, at which the rate of heat radiation is 32×105J-s−1m−2 is
A
273∘C
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B
527∘C
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C
873∘C
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D
927∘C
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Solution
The correct option is B527∘C For a perfect black body, (T2T1)4=E2E1 or T2T1=(E2E1)1/4=(32×1052×105)1/4=2 ∴T2=2T1=2×(127+273)=800K =800−273=527∘C