CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    A\[10\text{ }c{{m}^{3}}\]cube floats in water with a height of \[4\text{ }c{{m}^{3}}\]remaining above the surface. The density of the material from which the cube is made is, ......... .

    A)  \[0.6\text{ }g\text{ }c{{m}^{-3}}\]     

    B)         \[1.0\text{ }g\text{ }c{{m}^{-3}}\]

    C)  \[0.4\text{ }gc{{m}^{-3}}\]     

    D)         \[0.24\text{ }gc{{m}^{-3}}\]

    E)  none of these

    Correct Answer: A

    Solution :

    \[\frac{Volume\text{ }of\text{ }cube\text{ }submerged}{Total\text{ }volume}\] \[=\frac{density\text{ }of\text{ }cube\text{ }material}{density\text{ }of\text{ }water}\] \[\Rightarrow \]               \[\frac{10-4}{10}=\frac{d}{1}\] \[\therefore \]  \[d=\frac{6}{10}=0.6g\,c{{m}^{-3}}\]


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