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

  • question_answer
    An iron bar of length \[\ell \] cm and cross section A \[c{{m}^{2}}\]is pulled by a force of F dynes from ends so as to produce an elongation \[\Delta \ell \] cm. Which of the following statement is correct?

    A) Elongation is inversely proportional to length

    B) Elongation is directly proportional to cross section A

    C) Elongation is inversely proportional to cross-section

    D) Elongation is directly proportional to Young's modulus

    Correct Answer: C

    Solution :

    [c] According to Hooke's law \[Stress\text{ }\propto \text{ }strain\text{ }i.e.,\frac{F}{A}\propto \frac{\Delta l}{l}\]   \[\Rightarrow For\,same\,F\And \,l,\,\Delta l\propto \frac{l}{A}\]


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