Question

Water is filled in a cylindrical vessel of height H. A hole is made at height z from the bottom, as shown in the figure. The value of z for which the range R of the emerging water through the hole will be maximum for:

• A. \( z = \frac{H}{4} \)
• B. \( z = \frac{H}{2} \)
• C. \( z = \frac{H}{8} \)
• D. \( z = \frac{H}{3} \)

Hint:

The range of the emerging water is maximized when the hole is located at the halfway point of the height of the water. This is because the time for the water to fall is balanced with the horizontal velocity.