Manipal Engineering Manipal Engineering Solved Paper-2011

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

    A)  0.6 g \[c{{m}^{-3}}\]        

    B)         1.0 g\[c{{m}^{-3}}\]

    C)  0.4 g \[c{{m}^{-3}}\]       

    D)                         0.24 g \[c{{m}^{-3}}\]

    Correct Answer: A

    Solution :

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


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