Question

A water tank of height $10\text{m}$, completely filled with water is placed on a level ground. It has two holes one at $3\text{m}$ and the other at $7\text{m}$ from its base. The water ejecting from

• A. both the holes will fall at the same spot
• B. upper hole will fall farther than that from the lower hole
• C. upper hole will fall closer than that from the lower hole
• D. more information is required

Answer 1

The correct option is A both the holes will fall at the same spot

Velocity of water from hole
$A=v_1=\sqrt{2gh}$
Velocity of water from hole $B$
$=v_2=\sqrt{2g(H_0-h)}$
Time for water to reach the ground from hole $B$
$=t_1=\sqrt{2(H_0-h)/g}$
Time for water to reach the ground from hole $A$
$=t_2=\sqrt{2h/g}$
Range of the water from hole $\left(A\right)$
$R_1=v_1{t}_1=2\sqrt{h(H_0-h)}$

Range of the water from hole $\left(B\right)$
$R_2=v_2{t}_2=2\sqrt{h(H_0-h)}$

Hence $R_1=R_2$, Option $A$