A human body has a surface area of approximately 1 m 2 . The normal body temperature is 10 K above the surrounding room temperature T 0 . Take the room temperature to be T 0 = 300 K . For T 0 = 300 K , the value of σ T 4 = 460 W m 2 (where σ is the Stefan-Boltzmann constant). Which of the following options is/are correct?

Step-by-step solution

( aligned & Energy radiated = A (T^4-T₀^4 ) t & = A [ ( ~T ₀+10 )^4-T₀^4 ] t & = A T₀^4 [ (1+ 10 T₀ )^4-1 ] t & = A T₀^4 [ 40 T₀ ] t=460 1 40 300 1=61.33 J & P= Energy radiated time = A T^4- A T₀^4 & | d p d T₀ |= A (4 T₀^3 ) |d p|= A (4 T₀^3 ) d T₀ & | P|=4 A T₀^3 aligned ) A, B are not correct options as human body is not a black body. Energy radiated ( A ) where ( A ) is the surface area of the body. ' ( C ) ' is the correct option