Question

There are two holes $O_1$ and $O_2$ in a tank of height H. The water emerging from $O_1$ and $O_2$ strikes the ground at the same points,as shown in fig. Then:

• A. $H=h_1+h_2$
• B. $H=h_2-h_1$
• C. $H=h_1{h}_2$
• D. $H=h_2/h_1$

Answer 1

The correct option is A $H=h_1+h_2$

At any height h below the surface , velocity of ejection $V=\sqrt{2gh}$

time of flight $t=\sqrt{2g(H-h)}$

$\therefore$ Range $R=vt=2\sqrt{h(H-h)}$

If $R_1=R_2\Rightarrow h_1(H-h_1)=h_2(H-h_2)$

$\Rightarrow h_1=H-h_2$

$h_1+h_2=H$