JEE Main & Advanced AIEEE Solved Paper-2009

  • question_answer
    Two wires are made of the same material and have the same volume. However wire 1 has cross-section area A and wire 2 has cross- sectional area 3A. If the length of wire 1 increases by\[\Delta x\]on applying force F, how much force is needed to stretch wire 2 by the same amount?     AIEEE  Solved  Paper-2009

    A) F

    B)                                        4F                          

    C)        6F                          

    D)        9F.

    Correct Answer: D

    Solution :

    \[{{\ell }_{1}}=3{{\ell }_{2}}\] \[Y=\frac{F}{A}\times \frac{{{\ell }_{1}}}{\Delta x}\]                         ?(i) \[Y=\frac{F'}{3A}\times \frac{{{\ell }_{1}}/3}{\Delta x}\] ?(ii) \[\frac{F}{A}\times \frac{{{\ell }_{1}}}{\Delta x}=\frac{F'}{3A}\times \frac{{{\ell }_{1}}}{3\Delta x}\] \[F'=9F\]


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