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JEE Main & Advanced Physics Elasticity Question Bank Bulk Modulus

  • question_answer
    For a constant hydraulic stress on an object, the fractional change in the object's volume\[\left( \frac{\Delta V}{V} \right)\]and its bulk modulus  are related as

    A)             \[\frac{\Delta V}{V}\propto B\]          

    B)             \[\frac{\Delta V}{V}\propto \frac{1}{B}\]

    C)             \[\frac{\Delta V}{V}\propto {{B}^{2}}\]

    D)             \[\frac{\Delta v}{v}\propto {{B}^{-2}}\]

    Correct Answer: B

    Solution :

                    \[B=\frac{\Delta p}{\Delta V/V}\] Þ \[\frac{1}{B}\propto \frac{\Delta V}{V}\]                  \[[\Delta p=\]constant]


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