2. Solved Papers
  3. JEE Main & Advanced

JEE Main & Advanced JEE Main Paper (Held On 9 April 2016)

  • 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 Main Online Paper (Held On 09 April 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 :

                    Using equation of continuity \[\pi r\sqrt{2gH}=\pi {{x}^{2}}\sqrt{2g(H+h)}\] \[x=r{{\left( \frac{H}{H+h} \right)}^{1/2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner