Manipal Medical Manipal Medical Solved Paper-2013

  • question_answer
    A certain electrical conductor has a square cross-section, 2.0 mm on a side and is 12 m long. The resistance between its ends is\[0.072\,\Omega \]. The resistivity of its material is equal to

    A)  \[2.4\times {{10}^{-6}}\Omega m\]      

    B)  \[1.2\times {{10}^{-6}}\Omega m\]

    C)  \[1.2\times {{10}^{-8}}\Omega m\]     

    D)  \[2.4\times {{10}^{-8}}\Omega m\]

    Correct Answer: D

    Solution :

     Resistance of a conductor is given by \[R=\frac{\rho l}{A}\] When\[l\]is the length of conductor. A its area of cross-section and p its resistivity \[\rho =\frac{RA}{l}\] ?.(i) Given   \[R=0.072\,\Omega \] \[A=(2\times 2)m{{m}^{2}}\] \[=4\times {{10}^{-6}}{{m}^{2}}\]. \[l=12m\] Substituting the given values is Eq. (i) we get \[\rho =\frac{0.072\times 4\times {{10}^{-6}}}{12}=2.4\times {{10}^{-8}}\,\Omega \,m\]


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