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 wire is broken in four equal parts. A packet is formed by keeping the four wires together. The resistance of the packet in comparison to the resistance of the wire will be [MP PET 1985; AFMC 2005]

    A)                    Equal

    B)                                      One fourth

    C)                    One eight                      

    D)            \[\frac{1}{16}th\]

    Correct Answer: D

    Solution :

                 Let the resistance of the wire be R, then we know that resistance is proportional to the length of the wire. So each of the four wires will have R/4 resistance and they are connected in parallel. So the effective resistance will be                    \[\frac{1}{{{R}_{1}}}=\left( \frac{4}{R} \right)4\Rightarrow {{R}_{1}}=\frac{R}{16}\]


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