JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन JEE PYQ-Fluid Mechanics, Surface Tension and Viscosity

  • question_answer
    Consider a water jar of radius R that has water filled up to height H and is kept on a stand of height h (see figure). Through a hole of radius r (r < < R) at its bottom, the water leaks out and the stream of water coming down towards the ground has a shape like a funnel as shown in the figure. If the radius of the cross-section of water stream when it hits the ground is x. Then:      [JEE ONLINE 09-04-2016]

    A) \[x=r{{\left( \frac{H}{H+h} \right)}^{2}}\]

    B)      \[x=r\left( \frac{H}{H+h} \right)\]

    C) \[x=r{{\left( \frac{H}{H+h} \right)}^{\frac{1}{4}}}\]

    D)     
    \[x=r{{\left( \frac{H}{H+h} \right)}^{\frac{1}{2}}}\]

    Correct Answer: D

    Solution :

    [d] Using equation of continuity


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