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

  • question_answer
    A solid cube is subjected to a pressure of \[5\times {{10}^{5}}N{{m}^{-2}}\].Each side of the cube is shortened by 1 %. Find x if \[1.67\times {{10}^{x}}N/{{m}^{2}}\] be the bulk modulus of elasticity of the cube.

    A) 7                     

    B) 11   

    C) 12                    

    D) 15

    Correct Answer: A

    Solution :

    [a] Volumetric strain, \[\frac{\Delta V}{V}=3\times \frac{\Delta \ell }{\ell }\] \[=3\times 0.01=0.03\] Bulk modulus, \[B=\frac{\Delta P}{(\Delta V/V)}=\frac{5\times {{10}^{5}}}{0.03}\] \[=1.67\times {{10}^{7}}N/{{m}^{2}}\]


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