J & K CET Engineering J and K - CET Engineering Solved Paper-2007

  • question_answer
    A particular force (F) applied on a wire increases its length by \[2\times {{10}^{-3}}\text{ }m\]. To increase the wire's length by \[4\times {{10}^{-3}}\text{ }m\]the applied force will be             

    A)  \[4\,\,F\]           

    B)  \[3\,\,F\]

    C)  \[2\,\,F\]           

    D)  \[F\]

    Correct Answer: C

    Solution :

    \[Y=\frac{F/A}{\Delta l/l}=\frac{F\times l}{A\times \Delta l}\]  (where Y is Young's modulus of elasticity) Since, Y, I and A remain same. \[F\propto \,\,\Delta l\] \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{\Delta {{l}_{1}}}{\Delta {{l}_{2}}}\] \[\Rightarrow \] \[\frac{F}{{{F}_{2}}}=\frac{2\times {{10}^{-3}}}{4\times {{10}^{-3}}}\] \[{{F}_{2}}=2F\]


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