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Q.

A black body at 12270C emits radiation with maximum intensity at a wavelength of 5000 A0. If the temperatures of the body is increased by 10000 c, the maximum intensity will be observed at

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a

4000 A0

b

5000 A0

c

6000 A0

d

3000 A0

answer is D.

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Detailed Solution

The product of wavelength corresponding to maximum intensity of radiation and temperature of the body in Kelvin is constant.According to Wien's law,             λmT = constant (say b)Where λm is a wavelength corresponding to maximum intensity of radiation and T is temperature of the body in Kelvin.         λm'λm= TT'Given, T = 1227 + 273 = 1500 K,           T' = 1227 + 1000 +273 = 2500 K             λm = 5000 A0Hence, λm' = 15002500×5000 = 3000 A0
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