The adjoining diagram shows the spectral energy density distribution Eλ of a black body at two different temperatures. If the areas under the curves are in the ratio 256 : 1, the value of temperature T is
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a
32,000 K
b
16,000 K
c
8,000 K
d
4,000 K
answer is C.
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Detailed Solution
ATA2000=2561 (given) Area under eλ−λ curve represents the emissive power of body and emissive power ∝T4 (Hence area under eλ−λ curve) ∝T4⇒ATA2000=T20004⇒2561=T20004⇒T=8000K.
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The adjoining diagram shows the spectral energy density distribution Eλ of a black body at two different temperatures. If the areas under the curves are in the ratio 256 : 1, the value of temperature T is