Question

A tank is filled with water up to height $H$. When a hole is made at a distance $h$ below the level of water. What will be a horizontal range of water jet?

• A. $2\sqrt{h(H-h)}$
• B. $4\sqrt{h(H+h)}$
• C. $4\sqrt{h(H-h)}$
• D. $2\sqrt{h(H+h)}$

Answer 1

The correct option is A $2\sqrt{h(H-h)}$

Velocity of efflux at hole = $v_x=\sqrt{2g(H-h)}$

Time taken to reach the ground = $\sqrt{\frac{2h}{g}}$

So horizontal range = velocity × time = $\sqrt{2g(H-h)}\times$ $\sqrt{\frac{2h}{g}}$

So range of the water stream $R=2\sqrt{h(H-h)}$

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