Manipal Engineering Manipal Engineering Solved Paper-2015

  • question_answer
    The proposition \[iG=(i-{{i}_{0}})S\]is

    A)  a tautology

    B) a contradiction

    C) neither tautology nor contradiction

    D) both tautology and contradiction

    Correct Answer: B

    Solution :

    The truth table of \[\frac{{{N}_{2}}}{{{N}_{1}}}=\exp \left( -\frac{{{E}_{2}}-{{E}_{1}}}{kT} \right)\]is as follows:
    \[\lambda =550nm\] \[\Rightarrow \] \[{{E}_{2}}-{{E}_{1}}=\frac{hc}{\lambda }=3.16\times {{10}^{-19}}J\] \[\Rightarrow \] \[\frac{{{N}_{2}}}{{{N}_{1}}}=\exp \left( \frac{-3.16\times {{10}^{-19}}J}{(1.38\times {{10}^{-23}}1/k).(300k)} \right)\]\[\Rightarrow \]
    T F F T F
    F T T F F
    Clearly, last column of the above truth table contains F only. So, the given statement is a contradiction.


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