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CMC Medical CMC-Medical Ludhiana Solved Paper-2007

  • question_answer
    What is the number of equal pans into which a conductor having a resistance \[{{R}_{0}}=100\Omega \] should be cut to obtain the resistance \[R=10\Omega ,\] if the pans are connected in parallel?

    A)  5                                            

    B)  10

    C)  20                                         

    D)  2

    Correct Answer: B

    Solution :

                    Let n parts be made thin, each part has resistance\[\frac{{{R}_{0}}}{n}.\] Connecting them parallel gives\[\frac{{{R}_{0}}}{n}\times \frac{1}{n}\Omega \]. \[\therefore \]  \[\frac{{{R}_{0}}}{{{n}^{2}}}=\frac{100}{{{n}^{2}}}=1\] \[\Rightarrow \]               \[{{n}^{2}}=100\] \[\Rightarrow \]                 \[n=10\]


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