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=h1+h2
B
H=h2h1
C
H=h1h2
D
H=h2/h1

Solution

## 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 $$R_{1} = R_{2} \Rightarrow h_{1}(H-h_{1}) = h_{2} (H-h_{2})$$ $$\Rightarrow h_{1} = H-h_{2}$$ $$h_{1}+h_{2} =H$$Physics

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