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JEE Main & Advanced Sample Paper JEE Main Sample Paper-24

  • question_answer
    A vessel contains oil (density \[0.8\,\,gc{{m}^{-3}}\]) over mercury (density \[13.6\,\,gc{{m}^{-3}}\]). A homogeneous sphere floats with half volume immersed in mercury and the other half in oil. The density of the material of the sphere in gem"3 is :

    A)  \[12.8\]                                    

    B)  \[7.2\]

    C)  \[6.4\]                                      

    D)  \[3.3\]

    Correct Answer: B

    Solution :

    Weight of the body = Weight of liquids displaced \[V\times d\times g\,=\frac{V}{2}\times 0.8\,\times g+\frac{V}{2}\,\,\times 13.6\,\times g\] \[d=\frac{0.8}{2}\,+\frac{13.6}{2}=0.4+6.8\,=7.2\,g\,c{{m}^{-3}}\]


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