Q.

The emission spectrum of a black body at two different temperatures are shown by curyes P and Q (as shown in figure). The ratio of the areasunder the two curves P and Q will be

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a

1 : 16

b

4 : 9

c

81 : 256

d

16 : 81

answer is D.

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Detailed Solution

Absolute temperatures of the black body corresponding to curve P and Q are in the inverse ratio of λm(Wein's displacement law).i.e., TPTQ = 19872980Area under curves represent the total power radiated by a body and is proportional to the fourth power of absolute temperature (Stefan's law)∴ ApAQ = (TPTQ)4= 1681
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