AIIMS AIIMS Solved Paper-2014

  • question_answer
    If the length and area of cross-section of a conductor are doubled, then its resistance will be

    A) unchanged 

    B) halved

    C) doubled              

    D) quadrupled

    Correct Answer: A

    Solution :

    Initial length of the conductor \[{{l}_{1}}=l\] Final length of the conductor \[{{l}_{2}}=2l\] Initial cross-sectional area \[{{A}_{1}}=A\] Final cross-sectional area \[{{A}_{2}}=2A\] The resistance of conductors given by \[R=\rho \frac{1}{A}\propto \frac{1}{A}\] As both the length and area are doubled Hence, there will be no change in the resistance of the conductor and so it will remain unchanged.                


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