The energy spectrum of a black body exhibits a maximum around a wavelength _0. The temperature of the black body is now changed such that the energy is maximum around a wavelength 3 _04. The power ra…

Question

The energy spectrum of a black body exhibits a maximum around a wavelength _0. The temperature of the black body is now changed such that the energy is maximum around a wavelength 3 _04. The power radiated by the black body will now increase by a factor of

Accepted Answer

Correct answer: A. (a) According to Wien's law wavelength corresponding to maximum energy decreases. When the temperature of black body increases i.e. _mT= constant T_2T_1= _1 _2= _03 _0/4= 43 Now according to Stefan's law E_2E_1= ( T_2T_1 )^4= ( 43 )^4= 25681.

$The energy spectrum of a black body exhibits a maximum around a wavelength λ_{0} . The temperature of the black body is now changed such that the energy is maximum around a wavelength \frac{3 λ _{0}}{4} . The power radiated by the black body will now increase by a factor of$

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