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
    The drift velocity of free electrons in a conductor is ?v? when a current ?i? is flowing in it.  If both the radius and current are doubled, then drift velocity will be                   [BHU 2002]

    A)            v    

    B)            \[\frac{v}{2}\]

    C)            \[\frac{v}{4}\]                      

    D)            \[\frac{v}{8}\]

    Correct Answer: B

    Solution :

                 \[{{v}_{d}}=\frac{i}{ne\pi {{r}^{2}}}\Rightarrow {{v}_{d}}\propto \frac{i}{{{r}^{2}}}\Rightarrow \frac{v}{v'}=\frac{{{i}_{1}}}{{{i}_{2}}}\times {{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{2}}\]\[\Rightarrow \,\,v'=\frac{v}{2}\].


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