CMC Medical CMC-Medical VELLORE Solved Paper-2010

  • question_answer
    The specific resistance of a wire is p, its volume is \[3{{m}^{3}}\]and its resistance is 3 \[\Omega \], then its length will be

    A)  \[\sqrt{\frac{1}{\rho }}\]                             

    B)  \[\frac{3}{\sqrt{\rho }}\]

    C)  \[\frac{\sqrt{3}}{\rho }\]                                             

    D)  \[\rho \sqrt{\frac{1}{3}}\]

    E)  None of these

    Correct Answer: B

    Solution :

                    Volume \[=Al=3\] \[A=\frac{3}{l}\] Now,                     \[R=\rho \frac{l}{A}\] \[3=\frac{\rho \times l}{3/l}\] \[{{l}^{2}}=\frac{9}{\rho }\] \[\Rightarrow \]                               \[l=\frac{3}{\sqrt{\rho }}\]


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