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