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 uniform wire of resistance R is uniformly compressed along its length, until its radius becomes n times the original radius.  Now resistance of the wire becomes [KCET 2000]

    A)            \[\frac{R}{{{n}^{4}}}\]      

    B)            \[\frac{R}{{{n}^{2}}}\]

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

    D)            nR

    Correct Answer: A

    Solution :

                 \[\frac{{{R}_{1}}}{{{R}_{2}}}={{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{4}}\Rightarrow \frac{R}{{{R}_{2}}}={{\left( \frac{nr}{r} \right)}^{4}}\Rightarrow {{R}_{2}}=\frac{R}{{{n}^{4}}}\].


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