Intensity of radiation from the surface of a hot body is maximum at wave length λ and the total power radiated from the surface of the black body is ‘p’. Now the temperature of the body is increased and it is observed that maximum radiation takes place at wave length λ$$2$$. In this case total power radiated from the surface of the body is

Question

Intensity of radiation from the surface of a hot body is maximum at wave length λ and the total power radiated from the surface of the black body is ‘p’. Now the temperature of the body is increased and it is observed that maximum radiation takes place at wave length λ$$2$$. In this case total power radiated from the surface of the body is

Infinity Learn · Accepted Answer

λ$$T=b(wien$$'s $$constant)$$⇒$$T=b$$λIn the second case, λ$$2$$.T'$$=b$$⇒T'$$=2b$$λSince, p∝$$T4$$, p'$$p=T$$'$$T4=2b/$$λ$$b/$$λ$$4=16$$⇒p'$$=16$$ p

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