JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Mock Test - Current Electricity

  • question_answer
    When 5V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is \[2.5\times {{10}^{-4}}m{{s}^{-1}}\] If the electron density in the wire is \[8\times {{10}^{28}}{{m}^{-3}}s\], the resistivity of the material is close to

    A) \[1.6\times {{10}^{-8}}\Omega \,m\]

    B) \[1.6\times {{10}^{-7}}\Omega \,m\]

    C) \[1.6\times {{10}^{-6}}\Omega \,m\]

    D) \[1.6\times {{10}^{-5}}\Omega \,m\]

    Correct Answer: D

    Solution :

    [d] \[V=IR=I\rho\frac{l}{A}\] \[\Rightarrow \rho =\frac{VA}{Il}=\frac{VA}{In\,e\,A{{v}_{d}}}=\frac{V}{l\times n\times e\times {{v}_{d}}}\] \[\Rightarrow \rho =\frac{5}{0.1\times 2.5\times {{10}^{-19}}\times 1.6\times {{10}^{-19}}\times 8\times {{10}^{28}}}\]\[=1.6\times {{10}^{-5}}\Omega \,m\]


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