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CMC Medical CMC-Medical Ludhiana Solved Paper-2015

  • question_answer
    Two resistors M and N have resistances \[{{R}_{M}}\] and \[{{R}_{N}}\] respectively. With \[{{R}_{M}}<{{R}_{N}}.\] The resistances of their material are \[{{\rho }_{M}}\] and \[{{\rho }_{N}},\]then

    A)  \[{{\rho }_{M}}>{{\rho }_{N}}\]                               

    B)  \[{{\rho }_{M}}<{{\rho }_{N}}\]

    C)  \[{{\rho }_{M}}={{\rho }_{N}}\]                               

    D)  None of these

    Correct Answer: D

    Solution :

                    As resistence \[R=\rho \frac{l}{A}\] \[\Rightarrow \]               \[{{R}_{M}}={{\rho }_{M}}\frac{{{l}_{M}}}{{{A}_{M}}}\]and \[{{R}_{N}}={{\rho }_{N}}\frac{{{I}_{N}}}{{{A}_{N}}}\] As per question, \[{{\rho }_{M}}\frac{{{I}_{M}}}{{{A}_{M}}}<{{\rho }_{N}}\frac{{{I}_{N}}}{{{A}_{N}}}\] The relation between \[{{\rho }_{M}}\] and \[{{\rho }_{N}}\] can not be determined on the reference given in the question.


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