Calculate the temperature at which a perfect black body radiates at the rate of 1 W cm - 2 , Value of Stefan's constant, σ = 5 . 67 × 10 - 5 erg s - 1 cm - 1 K - 4 .

Question

Calculate the temperature at which a perfect black body radiates at the rate of 1 W cm - 2 , Value of Stefan's constant, σ = 5 . 67 × 10 - 5 erg s - 1 cm - 1 K - 4 ., 576 K, 648 K, 695 K, 766 K

MARKS App · Accepted Answer

Here, σ = 5 . 67 × 10 - 5 erg s - 1 cm - 1 K - 4 ; E = 1 W cm - 2 = 10 7 erg s - 1 cm - 2 Let T be the temperature of the perfect black body. ​ Now, E = σ T 4 or T = ( E σ ) 1 / 4 ∴ T = ( 1 0 7 5 . 67 × 10 - 5 ) 1 / 4 = 648 K

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