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
    The velocity of water in a river is 18 km/hr near the surface. If the river is 5m deep, find the shearing stress between the horizontal layers of water. The co-efficient of viscosity of water\[={{10}^{-2}}poise\].

    A) \[{{10}^{-1}}N/{{m}^{2}}\]

    B) \[{{10}^{-2}}N/{{m}^{2}}\]

    C) \[{{10}^{-3}}N/{{m}^{2}}\]

    D) \[{{10}^{-4}}N/{{m}^{2}}\]

    Correct Answer: B

    Solution :

    [b] \[\eta ={{10}^{-2}}\,poise\] \[v=18km/h=\frac{18000}{3600}=5m/s\]           \[l=5m\] Strain rate\[=\frac{v}{l}\] \[Coefficient\,of\,vis\cos ity,\eta =\frac{shearing\,stress}{strain\,rate}\] \[\therefore \,\,\,Shearing\,stress=\eta \times strain\,rate\] \[={{10}^{-2}}\times \frac{5}{5}={{10}^{-2}}N{{m}^{-2}}\]


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