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Q.

For maximum radiant energy from the moon, the corresponding wavelength is 14 micron. If  Wien's constant is b = 2892 X 10-6 mK, then temperature of the moon is

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a

207 K

b

270 K

c

2070C

d

270 0C

answer is A.

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Detailed Solution

Given,  λm=14 micron =14μm=14×10−6mand Wien constant,  b=2892×10−6mKAccording to Wien's displacement law,λm=bT  or  T=bλm=2892×10−6mK14×10−6m∴ T=206.6K≈207K
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For maximum radiant energy from the moon, the corresponding wavelength is 14 micron. If  Wien's constant is b = 2892 X 10-6 mK, then temperature of the moon is