A current of \( 8 \mathrm{~A} \) flows in a metallic conductor of cross-section \( 1 \mathrm{~cm...

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A current of \( 8 \mathrm{~A} \) flows in a metallic conductor of cross-section \( 1 \mathrm{~cm}^{2} \) and length \( 10 \mathrm{~km} \). Free electron density of copper is \( 5 \times 10^{28} / \mathrm{m}^{3} \). The time taken by the electron to travel from one end of the conductor to the other is
(1) \( 10^{8} \mathrm{sec} \)
(2) \( 10^{9} \mathrm{sec} \)
(3) \( 10^{7} \mathrm{sec} \)
(4) \( 10^{5} \mathrm{sec} \)
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