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

  • question_answer
    The bulk modulus of a spherical object is 'B'. If it is subjected to uniform pressure 'p', the fractional decrease in radius is

    A) \[\frac{B}{3p}\]

    B) \[\frac{3p}{B}\]

    C) \[\frac{p}{3p}\]

    D) \[\frac{p}{B}\]

    Correct Answer: C

    Solution :

    [c] Bulk modulus is given by              \[B=\frac{p}{\left( \frac{\Delta V}{V} \right)}\,\,\,\,\,or\,\,\,\,\frac{\Delta V}{V}=\frac{p}{B}\] \[3\frac{\Delta R}{R}=\frac{p}{B}\] (here, \[\frac{\Delta R}{R}=\] fractional decreases in radius) \[\Rightarrow \frac{\Delta R}{R}=\frac{p}{3B}\]


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