AIIMS AIIMS Solved Paper-2007

  • question_answer
    If the cold junction of a thermocouple is kept at \[{{0}^{\text{o}}}C\] and the hot junction is kept at \[{{T}^{o}}C,\] then the relation   between neutral temperature \[({{T}_{n}})\] and temperature of inversion \[({{T}_{i}})\] is

    A)  \[v_{f}^{2}=v_{i}^{2}+\frac{2G{{m}_{e}}}{{{R}_{e}}}\left( 1+\frac{1}{10} \right)\]                            

    B)  \[v_{f}^{2}=v_{i}^{2}+\frac{2G{{m}_{e}}}{{{R}_{e}}}\left( 1-\frac{1}{10} \right)\]             

    C)        \[v_{f}^{2}=v_{i}^{2}+\frac{2Gm}{{{R}_{e}}}\left( 1-\frac{1}{10} \right)\]            

    D)        \[\mathbf{\vec{v}}\]

    Correct Answer: A

    Solution :

    It is found that temperature of inversion \[{{i}_{2}}=i=\frac{E}{{{R}_{1}}}\]is as much above the neutral temperature \[{{i}_{3}}=i=\frac{E}{{{R}_{1}}+{{R}_{2}}}\]as neutral temperature is above the temperature of the cold junction (T), ie, \[{{i}_{3}}=i=\frac{E}{{{R}_{1}}+{{R}_{2}}}\] or         \[{{T}_{n}}={{T}_{i}}+T\] But, here the cold junction is kept at \[\beta \] hence \[\Omega \]. Thus,      \[\Omega \]    or            \[\Omega \]


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