MGIMS WARDHA MGIMS WARDHA Solved Paper-2013

  • question_answer
    A drift velocity of free electrons in a conductor is\[{{\upsilon }_{d}}\], when the current i is flowing in it. If both the radius and current are doubled, the drift velocity will be

    A)  \[\frac{{{v}_{d}}}{8}\]                                  

    B)  \[\frac{{{v}_{d}}}{4}\]

    C)  \[\frac{{{v}_{d}}}{2}\]                                  

    D)  \[{{v}_{d}}\]

    Correct Answer: C

    Solution :

                    \[i=neA{{v}_{d}}\] \[{{v}_{d}}=\frac{i}{neA}\]where,\[{{v}_{d}}\]is the drift velociy-of the electron                 \[\frac{{{v}_{{{d}_{1}}}}}{{{v}_{{{d}_{2}}}}}=\frac{{{i}_{1}}}{{{i}_{2}}}\times \frac{r_{2}^{2}}{r_{1}^{2}}\]                 \[=\frac{i}{2i}\times \frac{2{{n}^{2}}}{{{n}^{2}}}=2\]                 \[{{v}_{{{d}_{2}}}}=\frac{{{v}_{{{d}_{1}}}}}{2}=\frac{{{v}_{d}}}{2}\]


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