J & K CET Engineering J and K - CET Engineering Solved Paper-2010

  • question_answer
    A wooden piece can float both in mercury (of density\[13.6\text{ }g/cc\]) and in water (of density\[1\text{ }g/cc\]). The ratio of mass of mercury displaced to the mass of water displaced is

    A)  \[1\]                

    B)  \[13.6\]

    C)  \[\frac{1}{13.6}\]

    D)  \[\frac{12.6}{13.6}\]

    Correct Answer: A

    Solution :

    If the same body is made to float in different liquids of density \[{{\sigma }_{A}}\] and \[{{\sigma }_{B}}\] respectively. \[{{V}_{P}}={{({{V}_{m}})}_{A}}{{\sigma }_{A}}={{({{V}_{m}})}_{B}}\,{{\sigma }_{B}}\] \[\therefore \] \[\frac{{{m}_{A}}}{{{m}_{B}}}=1\]


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