JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Pascal's Law and Archimedes Principle

  • question_answer
    A solid sphere of density h ( > 1) times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m then the tension in the string is given by      

    A)            \[\left( \frac{\eta -1}{\eta } \right)\,mg\]

    B)            \[\eta mg\]

    C)            \[\frac{mg}{\eta -1}\]

    D)            \[(\eta -1)\,mg\]

    Correct Answer: D

    Solution :

                       Tension in spring T = upthrust ? weight of sphere                    \[=V\sigma g-V\rho g\]\[=V\eta \rho g-V\rho g\]          \[(\text{As }\sigma =\eta \rho )\]            \[=(\eta -1)V\rho g\]= \[(\eta -1)mg.\]


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