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JEE Main & Advanced Physics Elasticity Question Bank Bulk Modulus

  • question_answer
    The pressure applied from all directions on a cube is P. How much its temperature should be raised to maintain the original volume ? The volume elasticity of the cube is \[\beta \] and the coefficient of volume expansion is \[\alpha \]

    A)                                 \[\frac{P}{\alpha \beta }\]                

    B)                                 \[\frac{P\alpha }{\beta }\]                

    C)                                 \[\frac{P\beta }{\alpha }\]                    

    D)                                 \[\frac{\alpha \beta }{P}\]

    Correct Answer: A

    Solution :

        If coefficient of volume expansion is \[\alpha \] and rise in temperature is \[\Delta \theta \] then \[\Delta V=V\alpha \Delta \theta \]Þ \[\frac{\Delta V}{V}=\alpha \Delta \theta \]             Volume elasticity \[\beta =\frac{P}{\Delta V/V}\] \[=\frac{P}{\alpha \Delta \theta }\]Þ \[\Delta \theta =\frac{P}{\alpha \beta }\]                             


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