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

  • question_answer
    Which of the following is correct for young's modulus of elasticity\[(\gamma )?\][where \[r=\]radius of cross section of wire, \[l=\]length of wire]

    A) \[\gamma \propto {{r}^{2}}\]

    B) \[\gamma \propto {{l}^{3}}\]

    C) \[\gamma \propto l/{{r}^{2}}\]

    D) \[\gamma \propto {{l}^{2}}\]

    Correct Answer: C

    Solution :

    [c] \[\gamma =\frac{F}{\pi {{r}^{2}}}\times \frac{\ell }{\Delta \ell }\Rightarrow \gamma \propto \frac{1}{{{r}^{2}}}\]


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