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

  • question_answer
    The pressure in an explosion chamber is 345 MPa. What would be the percent change in volume of a piece of copper subjected to this pressure? The bulk modulus for copper is 138 \[Gpa\]\[(=138\times {{10}^{9}}Pa)\] 

    A) 0.1%

    B) 0.5%

    C) 0.25%

    D) 0.2%

    Correct Answer: C

    Solution :

    [c] The bulk modulus is defined as \[B=-\frac{\Delta p}{\Delta V/V}\], where the minus sign is inserted because \[\Delta V\] is negative when \[\Delta p\] is positive. \[100\left| \frac{\Delta V}{V} \right|=100\frac{\Delta p}{B}=100\frac{345\times {{10}^{6}}}{138\times {{10}^{9}}}=0.25%\]


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