JEE Main & Advanced Chemistry Electrochemistry / विद्युत् रसायन Question Bank Mock Test - Electrochemistry

  • question_answer
    The resistivity of aluminum is \[2.834\times {{10}^{-8}}\Omega m.\] Thus, conductance across a piece of aluminum wire, that is 4.0 mm in diameter and 2.00 m long is (assume current=1.25 A)

    A) 111.0 S

    B) 1.11 S

    C) 222.05 S          

    D) 1111 S

    Correct Answer: C

    Solution :

    [c] Radius \[=\frac{4.0}{2}=2.0mm=2\times {{10}^{-3}}m;l=2m\] Area of cross section and resistance (R) is related to the resistivity as, (Specific resistance), the length and area by \[R=\text{Resistivity}\times \frac{\text{Length}}{\text{Area}}\] \[=\frac{2.834\times {{10}^{-8}}\Omega m\times 2.00m}{\pi {{(2.0\times {{10}^{-3}}m)}^{2}}}\] \[=4.5\times {{10}^{-3}}\Omega \] Conductance\[=\frac{1}{R}=\frac{1}{1.5\times {{10}^{-3}}}=222{{\Omega }^{-1}}(S)\]


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