Q.
Sun radiates thermal radiation with maximum intensity at the wavelength λ=0.5 μm while its surface temperature is 6000 K. If sun cools down to a temperature where it emits only 81% of its present power, the maximum intensity will then be emitted at wavelength λ' (in micro metre )is equal to 10=3.1622
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answer is 0000.53.
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Detailed Solution
1. When sun cools to the temperature T where it emits only 81% of its present radiating power, thenσT4=81100σ60004∵E=σT4 σ=5.67x 10-8 unit⇒T=0.96000 =0.95×6000=5700 K 2. By Wien’s displacement law, λmT=constantHence if λm is the required wavelength λm5700=0.5×6000λm=60005700×0.5=1019=0.53 μm Therefore, the correct answer is 0.53
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