Question

A cylinder of height 1m is filled with water. If a small orifice is made at a height of 0.25 m from the ground, the horizontal range of water stream will be :

• A. 46.5 cm
• B. 56.6 cm
• C. 76.6 cm
• D. 86.6 cm

Answer 1

Answer: (D)

86.6 cm

Answer 2

$V=\sqrt{2gh}=\sqrt{2\times10\times0.75}=\sqrt{15}$ Horizontal range $= V \sqrt{\frac{2H}{9}}=\sqrt{15}\sqrt{\frac{2\times0.25}{10}}=\sqrt{\frac{15}{20}}=\sqrt{\frac{3}{4}}$ $=\frac{1.732}{2}=$ 0.866m