9th Class Science Gravitation and Floatation Question Bank Gravitation and Pressure

  • question_answer
    A block of wood of length \[40\,\,cm\] and area of cross section \[15\,\,c{{m}^{2}}\] floats in water with \[3/8\] of its length above water. What is the density of wood? (density of wafer \[=1\,\,g\,\,c{{m}^{-3}}\])

    A) \[0.256\,\,g\,\,c{{m}^{-3}}\]                 

    B) \[0.526\,\,g\,\,c{{m}^{-3}}\]

    C) \[0.625\,\,g\,\,c{{m}^{-3}}\]       

    D)        \[0.650\,\,g\,\,c{{m}^{-3}}\]

    Correct Answer: C

    Solution :

     Length of wood outside water \[=\frac{3}{8}\times 40=15\,\,cm\] Length of wood inside water\[=40-15=25\,\,cm\] By laws of floatation\[{{h}_{wood}}\times {{d}_{wood}}\] \[={{h}_{water}}\times {{d}_{water}}\], \[h\]and \[d\]stand for height and density             \[40\times {{d}_{wood}}=25\times 1\,\,g\,\,c{{m}^{-3}}\]


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