JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Self Evaluation Test - Mechanical Properties of Fluids

  • question_answer
    An iceberg is floating in ocean. What fraction of its volume is above the water? (Given: density of ice\[=900kg/{{m}^{3}}\] and density of ocean water \[=1030kg/{{m}^{3}}\])

    A) \[\frac{90}{103}\]

    B) \[\frac{13}{103}\]

    C) \[\frac{10}{103}\]

    D) \[\frac{1}{103}\]

    Correct Answer: B

    Solution :

    [b] Let V be the volume of iceberg and let x be the fraction of volume above water. Using law of floatation, weight of floating body= weight of liquid displaced by part of the floating body inside the liquid. Therefore, \[V{{\rho }_{ice}}g=(1-x)V{{\rho }_{water}}g.\] Using the value of\[{{\rho }_{ice}}\,and\,{{\rho }_{water}}\], we get\[x=(13/103)\].


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