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26 November, 00:45

Consider a blackbody that radiates with an intensity I1I1I_1 at a room temperature of 300K300K. At what intensity I2I2I_2 will this blackbody radiate when it is at a temperature of 400K400K

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  1. 26 November, 03:16
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    We shall apply Stefan's formula

    E = AσT⁴

    When T = 300

    I₁ = Aσ x 300⁴

    When T = 400K

    I₂ = Aσ x 400⁴

    I₂ / I₁ = 400⁴ / 300⁴

    = 256 / 81

    = 3.16

    I₂ = 3.16 I₁.
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