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JIPMER Jipmer Medical Solved Paper-2010

  • question_answer
    At room temperature, copper has free electron density of \[8.4\times {{10}^{28}}\,{{\text{m}}^{\text{-3}}}\text{.}\] The electron drift velocity in a copper conductor of cross-sectional area of \[{{10}^{-6}}\,{{m}^{2}}\] and carrying a current of \[5.4\text{ }A,\] will be

    A)  \[4\text{ }m{{s}^{-1}}\]         

    B)                         \[0.4\text{ }m{{s}^{-1}}\]           

    C)         \[4\text{ }cm\text{ }{{s}^{-1}}\]              

    D)         \[0.4\text{ }mm\text{ }{{s}^{-1}}\]

    Correct Answer: D

    Solution :

    Drift velocity in a copper conductor \[{{v}_{d}}=\frac{i}{neA}=\frac{5.4}{8.4\times {{10}^{28}}\times 1.6\times {{10}^{-19}}\times {{10}^{-6}}}\]      \[=0.4\times {{10}^{-3}}m{{s}^{-1}}\]      \[=0.4\,mm{{s}^{-1}}\]


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