J & K CET Medical J & K - CET Medical Solved Paper-2004

  • question_answer
    If one junction of thermocouple is kept at 0°C and its emf is given by \[e=at+b{{t}^{2}},\] then the neutral temperature will be :

    A) \[\frac{a}{b}\]                                  

    B)  \[-\frac{a}{b}\]b

    C)  \[\frac{a}{2b}\]                                               

    D) \[-\frac{a}{2b}\]

    Correct Answer: D

    Solution :

                     In a thermocouple as temperature of the hot junction rises, the thermo emf rises and becomes   maximum   at   a   particular temperature. This temperature is called neutral temperature. Given,       \[e=at+b{{t}^{2}}\] At neutral temperature                 \[\frac{de}{dt}=0\] \[\therefore \]  \[\frac{de}{dt}=a+2bt=0\] \[\Rightarrow \]               \[t=-\frac{a}{2b}\]


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