JEE Main & Advanced Physics Elasticity Question Bank Youngs Modulus and Breaking Stress

  • question_answer
    A wire of cross section 4 mm2 is stretched by 0.1 mm by a certain weight. How far (length) will be wire of same material and length but of area 8 mm2 stretch under the action of same force                         [Kerala PMT 2004]

    A) 0.05 mm

    B)                      0.10 mm

    C)             0.15 mm

    D)                      0.20 mm

    E)             0.25 mm

    Correct Answer: A

    Solution :

                    \[l=\frac{FL}{AY}\]\ \[l\propto \frac{1}{A}\] (F,L and Y are constant]     \[\frac{{{l}_{2}}}{{{l}_{1}}}=\frac{{{A}_{1}}}{{{A}_{2}}}=\frac{4}{8}=\frac{1}{2}\]\[\Rightarrow {{l}_{2}}=\frac{{{l}_{1}}}{2}=\frac{0.1}{2}=0.05mm\]


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