Q.
Energy is being emitted from the surface a black body at 127∘C temperature at 1×106Js-1m-2, temperature of the black body at which the rate of emission is 16×106Js-1m-2 will be
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a
254∘c
b
508∘c
c
527∘c
d
272∘c
answer is C.
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Detailed Solution
given temperature of black body is T1=127+273=400K T2=? energy emitted by black body is E1=1×106 Js-1m-2 E2=16×106 Js-1m-2 from stefan's law, E =σ T4 ⇒E α T4 ⇒E1E2=T1T24 ⇒E1E2=400T24 ⇒(E1E2)14=400T ⇒10616×10614=400T⇒ 12 = 400T ⇒ T = 800 K = 800 - 273 = 527 ° C
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