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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