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NEET Sample Paper NEET Sample Test Paper-55

  • question_answer
    The resistance of a solution 'A' is \[50\,\Omega \] and that of solution 'B' is\[100\,\Omega \], both solutions being taken in the same conductivity cell. If equal volumes of solution A & B are mixed, what will be the resistance of the mixture using the same cell? (Assume that there is no increase in the degree of dissociation of A & B on mixing)

    A) \[60\,\,\Omega \]                        

    B) \[6.67\,\,\Omega \]

    C) \[66.67\,\,\Omega \]                   

    D) \[50\,\,\Omega \]

    Correct Answer: C

    Solution :

    \[\frac{1}{{{R}_{mix}}}\,\,=\,\,\frac{1}{2}\,\,\left( \frac{1}{{{R}_{1}}}+\frac{1}{{{R}_{2}}} \right)\] \[\frac{1}{{{R}_{mix}}}\,\,=\,\,\frac{1}{2}\,\,\left( \frac{1}{50}+\frac{1}{100} \right)\] \[{{R}_{mix}}=\,\,66.67\]


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