WB JEE Medical WB JEE Medical Solved Paper-2011

  • question_answer
    A body floats in water with 40% of its volume outside water. When the same body floats in an oil. 60% of its volume remains outside oil. The relative density of oil is

    A)  0.9                                        

    B)  1.0

    C)  1.2                                        

    D)  1.5

    Correct Answer: D

    Solution :

                     Using the law of buoyancy, we have \[V\sigma g=0.6V{{\sigma }_{1}}g,\]for the part of body outside oil and\[V\sigma g=0.4V{{\sigma }_{2}}g,\]for the part of body outside water, hence we get \[1=\frac{0.6{{\sigma }_{1}}}{0.4{{\sigma }_{2}}}\] So we have,       \[\frac{{{\sigma }_{2}}}{{{\sigma }_{1}}}=\frac{6}{4}=\frac{3}{2}\]                                 \[=1.5\]


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