Q199 / 200 · TS EAMCET 2001 · Physics

A tank with vertical walls is mounted so that its base is at a height $H$ above the horizontal ground. The tank is filled with water to a depth $h$. A hole is punched in the side wall of the tank at a depth $x$ below the water surface. To have maximum range of the emerging stream, the value of $x$ is

  • A
    $\frac{H+h}{4}$
  • Correct answer
    B
    $\frac{H+h}{2}$
  • C
    $\frac{H+h}{3}$
  • D
    $\frac{3(H+h)}{4}$

Solution

Total height of water level from the ground $=(h+H)$ From Torrcelli's theorem we know that to have maximum range, the depth of hole. $x=\frac{(h+H)}{2}$

Hence, the correct answer is option: 'B'.

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