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Asked by Vidushi412 | 24 Mar, 2019, 17:49: PM
answered-by-expert Expert Answer
Radiation power P is directly proportional to T4 , where T is temperature in Kelvin.
 
Hence P = kT4 , where k is constant.
 
at 487°C or at T =(487+273) = 760 K,  reading shown by instrument,   log2 (P/Po) =1    or  P = k(760)4 = 2Po ..................(1)
 
power at 2767°C or 3040 K = k(3040)4 = k(760×4)4 = 256 k(760)4 .................(2)
 
from (1) and (2), we write power at 2767°C or 3040 K = 256×2P = 512 × Po
 
hence the sensor reading = log2 (P/Po) = log2 512  = log2 29 = 9
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