Question

Figure shows a cylindrical vessel of height 90 cm filled up to the brim. There are four holes in the vessel as shows in figure. The liquid falling at maximum horizontal distance from the vessel would come from

• A. Hole 1
• B. hole 2
• C. hole 3
• D. hole 4

Answer 1

Answer: (C), (D)

The correct options are
C

hole 3

D

hole 4

$v=\sqrt{2g(H-h)}$
$t=\sqrt{\frac{2h}{g}}$
$Range=vt=2\sqrt{h(H-h)}$
$R_1=2\times \sqrt{20\times (90-20)}=20\sqrt{14}cm$
$R_2=2\times \sqrt{30\times (90-30)}=20\sqrt{18}cm$
$R_3=2\times \sqrt{40\times (90-40)}=20\sqrt{20}cm$
$R_4=2\times \sqrt{50\times (90-50)}=20\sqrt{20}cm$
Hence (c) and (d) are correct.