CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2011

  • question_answer
    The resistance of a 10 m long wire is\[10\,\Omega \]. Its length is increased by 25% by stretching the wire uniformly. Then the resistance of the wire will be

    A)  \[12.5\,\,\Omega \]                      

    B)         \[14.5\,\,\Omega \]      

    C)         \[15.6\,\,\Omega \]                      

    D)         \[16.6\,\,\Omega \]

    E)  \[18.6\,\,\Omega \]

    Correct Answer: C

    Solution :

    \[R=\frac{\rho \lambda }{A}\] For given problem \[R\propto {{\lambda }^{2}}\] Hence          \[\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{\lambda _{1}^{2}}{\lambda _{2}^{2}}\] \[{{R}_{2}}={{\left( \frac{{{\lambda }_{2}}}{{{\lambda }_{1}}} \right)}^{2}}\times {{R}_{1}}=15.6\,\Omega \]


You need to login to perform this action.
You will be redirected in 3 sec spinner