Most of the times to determine the temperature in an electric furnace, thermometer containing thermocouple is used. From the EMF of the thermocouple the actual temperature of the substance is measured. The EMF of the thermocouple varies with the centigrade temperature as follows: EMF =0.2t−5×10−4×t2mVThe given thermometer is calibrated with the freezing point and the boiling point of water. If the thermocouple reads EMF 105 mV in the blast furnace, then what is the temperature of the blast furnace in degree centigrade ?
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a
105°C
b
700°C
c
157.5°C
d
1700°C
answer is B.
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Detailed Solution
At = 0; e.m.f = 0At = 100, e.m.f. 20−5×10−4×104mV=15mV.'. Rise in 100°C corresponds to e.m.f. = 15 mV.'. 105 mV e.m.f. corresponds to rise in temperature 700°C.