JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Mechanical Properties of Solids

  • question_answer
    What per cent of length of wire increases by applying a stress of 1 kg weight/ \[m{{m}^{2}}\]on it? (\[(Y=1\times {{10}^{11}}N/{{m}^{2}}\]and 1 kg weight\[=9.8\] newton)

    A) 0.0067%

    B) 0.0098%

    C) 0.0088%

    D) 0.0078%

    Correct Answer: B

    Solution :

    [b] Stress\[=\,kg\,wt/m{{m}^{2}}=9.8N/m{{m}^{2}}\] \[9.8\times {{10}^{6}}N/{{m}^{2}}\] \[Y=1\times {{10}^{11}}N/{{m}^{2}},\,\,\,\,\,\,\frac{\Delta \ell }{\ell }\times 100=?\] \[Y=\frac{Stress}{Strain}=\frac{Stress}{\Delta \ell /\ell }\] \[\therefore \,\,\frac{\Delta \ell }{\ell }=\frac{Stress}{Y}=\frac{9.8\times {{10}^{6}}}{1\times {{10}^{11}}}\] \[\frac{\Delta \ell }{\ell }\times 100=9.8\times {{10}^{-11}}\times 100\times {{10}^{6}}\] \[=9.8\times {{10}^{-3}}=0.0098%\]


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