NEET AIPMT SOLVED PAPER SCREENING 2008

  • question_answer
    A wire of a certain material is stretched slowly by ten per cent. Its new resistance and specific resistance become respectively

    A) 1.2 times, 1.1 times

    B) 1.21 times, same

    C) both remain the same

    D) 1.1 times, 1.1 times

    Correct Answer: B

    Solution :

    Key Idea: In stretching, specific resistance remains unchanged. After stretching, specific resistance (p) will remain same. Original resistance of the wire, \[R=\frac{\rho l}{A}\] or\[R\propto \frac{l}{A}\]or\[R\propto \frac{{{l}^{2}}}{V}\]          \[(as\,V=Al)\] and\[R'\propto \frac{{{(l+10%l)}^{2}}}{V}\] Therefore,\[\frac{R'}{R}=\frac{{{\left( l+\frac{10}{100}l \right)}^{2}}}{{{l}^{2}}}\] or\[\frac{R'}{R}=\frac{{{\left( \frac{11l}{10} \right)}^{2}}}{{{l}^{2}}}=\frac{121}{100}\]or\[R'=1.21R\]


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