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The power emitted per unit area of a black body is R watt/m². At what wavelength will the power radiated by the black body be maximum. If the Stefan’s constant is σ and Wien’s constant is b, then :

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$λ = {(\frac{b}{R})}^{1 / 4}$

$λ = {(\frac{bR}{σ})}^{1 / 4}$

$λ = {(\frac{bσ}{R})}^{1 / 4}$

$λ = b {(\frac{σ}{R})}^{1 / 4}$

answer is D.

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Detailed Solution

R = σ T⁴
$λ = \frac{b}{T} = \frac{b (σ)^{1 / 4}}{(R)^{1 / 4}}$

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