J & K CET Engineering J and K - CET Engineering Solved Paper-2004

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

    A)  \[\frac{a}{b}\]

    B)  \[-\frac{a}{b}\]

    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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