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pallavi pradeep bhardwaj Grade: 12
        A body at 300 degree celcius radiates 10 joules/sq.cm -sec.If sun radiates 100000joules/sq.cm-sec,then its temp is
8 years ago

Answers : (2)

AskIITians Expert Hari Shankar IITD
17 Points
										

Energy radiated is proportional to T4 (Stefan-Boltzmann law)


Let E = kT4


Then, For the first body, 10 = k(573)4


(Because we 300 C = 300+273 = 573 K)


Therefore,


k = 10/(573)4 = 9.27 x 10-11


For the case of the sun,


E = 100000.


So,


100000 = (9.27 x 10-11)T4


or, T4 = 100000/(9.27 x 10-11) = 1.08 x 1015


So T = (1.08 x 1015 )1/4 = 5732.65 K


 

8 years ago
Ramesh V
70 Points
										

By Stefan-Boltzmann law,


energy of thermal radiation emitted per unit time by a black body of surface area A is given by:


U= kAT4


T2 = 573K and U1=105 ,  U2=10


so for given conditions, U1/U2 = (T1/T2)4


                                          T1 = 5730 K


Temp. of sun = 5457 C


--


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Regards,

Naga Ramesh

IIT Kgp - 2005 batch

8 years ago
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