Q.

A black body is heated from27° to 127°C. The ratio of their energies of radiation emitted will be

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a

81 : 256

b

27 : 64

c

9 : 16

d

3 : 4

answer is A.

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Detailed Solution

From Stefan's law, the total radiant energy emitted per second per unit surface area of a black body is proportional to the fourth power of the absolute temperature of the body.That is E = σT4where σ is Stefan's constant.Given,initial temperature T1 = 273 + 27 = 300Kfinal temperature T2 = 127 + 273 = 400 KHence, we haveE1E2 = T41T42 = (300)4(400)4  = 81256Therefore, E1 : E2 = 81 : 256
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