JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Grouping of Resistances

  • question_answer
    A copper wire of resistance R is cut into ten parts of equal length. Two pieces each are joined in series and then five such combinations are joined in parallel. The new combination will have a resistance                      [MP PET 1996]

    A)                    R

    B)                                      \[\frac{R}{4}\]

    C)                    \[\frac{R}{5}\]              

    D)            \[\frac{R}{25}\]

    Correct Answer: D

    Solution :

                 \[R\propto l\] Hence every new piece will have a resistance \[\frac{R}{10}.\] If two pieces are connected in series, then their resistance \[=\frac{2R}{10}=\frac{R}{5}\] If 5 such combinations are joined in parallel, then net resistance \[=\frac{R}{5\times 5}=\frac{R}{25}\]


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