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Mechanical Properties Of Fluids

Question
CBSEENPH11020047

Explain why:

(c) an optical pyrometer (for measuring high temperatures) calibrated for an ideal black body radiation gives too low a value for the temperature of a red hot iron piece in the open, but gives a correct value for the temperature when the same piece is in the furnace

Solution
An optical pyrometer calibrated for an ideal black body radiation gives too low a value for temperature of a red hot iron piece kept in the open. 
Black body radiation equation is given by, 
                   E = σ (T4 - T04
where, 
E = Energy radiation,
T = Temperature of optical pyrometer, 
To = Temperature of open space, and
σ = Constant.
Hence, an increase in the temperature of open space reduces the radiation energy. 
When the same piece of iron is placed in a furnace, the radiation energy, E = σ T4