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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
    .. Figure shows a liquid flowing through a tube at the rate of\[0.1{{m}^{3}}/s\]. The tube is branched into two semicircular tubes of cross - sectional area A/3 and 2A/3, The velocity of liquid at Q is (the cross-section of the main tube is\[A={{10}^{-2}}{{m}^{2}}\] and  \[{{V}_{p}}=20m/s\]  

    A) 5 m/s

    B) 30m/s 

    C) 35 m/s

    D) None of these   

    Correct Answer: A

    Solution :

    [a] From the equation of continuity, Rate \[=r=\frac{A}{3}{{V}_{P}}+\left( A-\frac{A}{3} \right){{V}_{Q}}\] \[\therefore \,\,\,{{V}_{P}}+2{{V}_{Q}}=\frac{3r}{A}=\frac{3\times 0.1}{{{10}^{-2}}}=30m/s\] \[As\,\,{{V}_{p}}=20m/s,So\,\,{{V}_{Q}}=5m/s.\]


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