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
    A spherical ball of iron of radius 2 mm is falling through a column of glycerine. If densities of glycerine and iron are respectively \[1.3\times {{10}^{3}}kg/{{m}^{3}}\]and\[8\times {{10}^{3}}kg/{{m}^{3}}\].\[\eta \]for glycerine \[=0.83N{{m}^{-2}}\sec \], then the terminal velocity is

    A) 0.7 m/s

    B) 0.07 m/s

    C) 0.007 m/s

    D) 0.0007 m/s

    Correct Answer: B

    Solution :

    [b] Terminal velocity, \[{{v}_{0}}=\frac{2\,{{r}^{2}}(\rho -{{\rho }_{0}})g}{9\eta }\] \[=\frac{2\times {{(2\times {{10}^{-3}})}^{2}}\times (8-1.3)\times {{10}^{3}}\times 9.8}{9\times 0.83}\] \[=0.07m{{s}^{-1}}\]


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