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Q.

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 figure. Then,

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a

$H = h_{1} + h_{2}$

b

$H = \sqrt{h_{1} h_{2}}$

c

$H = h_{2} - h_{1}$

d

None of these

answer is A.

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Detailed Solution

$\sqrt{\frac{2 (H - h_{1})}{g}} \times \sqrt{2 g h_{1}} = \sqrt{\frac{2 (H - h_{2})}{g}} \times \sqrt{2 g h_{2}} \Rightarrow h_{1} + h_{2} = H$

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There are two holes O1 and O2 in a tank of height H. The water emerging from O1 and O2 strikes the ground at the same points, as shown in figure. Then,