JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Electric Conduction Ohms and Resistance

  • question_answer
    A wire of radius r has resistance R.  If it is stretched to a radius of \[\frac{3r}{4}\], its resistance becomes               [BHU 2002]

    A)            \[\frac{9R}{16}\]                 

    B)            \[\frac{16R}{9}\]

    C)            \[\frac{81R}{256}\]            

    D)            \[\frac{256R}{81}\]

    Correct Answer: D

    Solution :

                 \[\frac{{{R}_{1}}}{{{R}_{2}}}={{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{4}}\]Þ \[\frac{R}{{{R}_{2}}}={{\left( \frac{3r/4}{r} \right)}^{4}}=\frac{81}{256}={{R}_{2}}=\frac{256}{81}R\]


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