JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Critical Thinking

  • question_answer
    A block of ice floats on a liquid of density 1.2in a beaker then level of liquid when ice completely melt  [IIT-JEE 1994]

    A)             Remains same                      

    B)             Rises

    C)             Lowers                                    

    D)             (a), (b) or (c)

    Correct Answer: B

    Solution :

                       The volume of liquid displaced by floating ice \[{{V}_{D}}=\frac{M}{{{\sigma }_{L}}}\] Volume of water formed by melting ice, \[{{V}_{F}}=\frac{M}{{{\sigma }_{W}}}\] If \[{{\sigma }_{1}}>{{\sigma }_{W}},\]then, \[\frac{M}{{{\sigma }_{L}}}<\frac{M}{{{\sigma }_{W}}}\]i.e. \[{{V}_{D}}<{{V}_{F}}\] i.e. volume of liquid displaced by floating ice will be lesser than water formed and so the level if liquid will rise.


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