JEE Main & Advanced Sample Paper JEE Main Sample Paper-41

  • question_answer
    A wire whose cross-section is 4mm2 is stretched by 0.1 mm by a certain weight. How far will a wire of the same material and length stretch, if its cross-sectional area is 8 mm2 and the same weight is attached?

    A)  0.5 mm                      

    B)  1.0 mm

    C)  0.05 mm       

    D)  0.06 mm

    Correct Answer: C

    Solution :

     If the material and length are same as well as the stretching weight, then F, L and Y are fixed in the relation \[\Delta L=\frac{FL}{AY}.\]Then, \[\Delta L\propto \frac{1}{A},A\Delta L=\]constant \[{{A}_{1}}\Delta {{L}_{1}}={{A}_{2}}\Delta {{L}_{2}}\] After substituting the values, we get\[\Delta {{L}_{2}}=0.05\,mm\]


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