Q.

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