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 length 5\[m\] and radius 1\[mm\] has a resistance of 1 ohm. What length of the wire of the same material at the same temperature and of radius 2\[mm\] will also have a resistance of 1 ohm

    A)                    1.25\[m\]

    B)                                      2.5\[m\]

    C)                    10\[m\]

    D)                                      20\[m\]

    Correct Answer: D

    Solution :

                 \[R\propto \frac{l}{{{r}^{2}}}\] \[\Rightarrow \] \[\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{{{l}_{1}}}{{{l}_{2}}}\times \frac{r_{2}^{2}}{r_{1}^{2}}\Rightarrow \frac{1}{1}=\frac{5}{{{l}_{2}}}\times {{\left( \frac{2}{1} \right)}^{2}}\Rightarrow {{l}_{2}}=20m\]


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