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

  • question_answer
    If in a wire of Young's modulus Y, longitudinal strain X is produced, then the value of potential energy stored in its unit volume will be

    A) \[Y{{X}^{2}}\]

    B) \[2Y{{X}^{2}}\]

    C) \[{{Y}^{2}}X/2\]

    D) \[Y{{X}^{2}}/2\]

    Correct Answer: D

    Solution :

    [d]  \[P.E.\text{ }=\frac{1}{2}\times \text{ }stress\text{ }\times \text{ }strain\text{ }\times \text{ }volume\] or \[\left( P.E./volume \right)\text{ }=\text{ }\frac{1}{2}\times \text{ }\left( Y\text{ }\times \text{ }strain \right)\text{ }\left( strain \right)\] \[=\frac{1}{2}Y{{(strain)}^{2}}=\frac{1}{2}Y{{X}^{2}}\]


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