A spherical black body of 5cm radius is maintained at 227°C. At what wavelength the energy radiated is maximum?

Solution

According to Wien’s displacement law,

space space space space space space space straight lambda subscript max straight T space equals space 0.2898 space cm space straight K

Given,
Temperature,

straight T equals 227 degree straight C space equals space 500 straight K

Therefore, the wavelength at which the energy radiated is given by,

straight lambda subscript max equals straight b over straight T equals fraction numerator 0.2898 over denominator 500 end fraction equals 5.8 cross times 10 to the power of negative 4 end exponent cm space space space space space space space space space equals space 5.8 space micron

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