JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर JEE PYQ-Current Electricity Charging and Discharging of Capacitors

  • question_answer
    A uniform wire of length I and radius r has a resistance of \[100\,\Omega \]. It is recast into a wire of radius \[\frac{r}{2}\]. The resistance of new wire will be - [JEE Online 09-04-2017]

    A) \[1600\,\Omega \]

    B) \[100\,\Omega \]

    C) \[200\,\Omega \]

    D) \[400\,\Omega \]

    Correct Answer: A

    Solution :

    [a] \[R=\frac{\rho l}{A}\]                        \[Al=V\]
    \[R=\frac{\rho v}{{{A}^{2}}}\]
    \[\rho \to \] constant
    \[v\to \] constant
    \[R\propto \frac{1}{{{A}^{2}}}\propto \frac{1}{{{r}^{2}}}\]
    \[R\propto \frac{1}{{{r}^{4}}}\]
    \[{{R}_{2}}=16\,\,{{R}_{1}}=1600\Omega \]


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