JEE Mains · Physics · STD 11 - 9.1 fluid mechanics
The water is filled upto height of \(12\, {m}\) in a tank having vertical sidewalls. A hole is made in one of the walls at a depth \('{h}'\) below the water level. The value of \('h'\) for which the emerging stream of water strikes the ground at the maximum range is \(.....\,{m}\).
- A \(12\)
- B \(8\)
- C \(3\)
- D \(6\)
Answer & Solution
Correct Answer
(D) \(6\)
Step-by-step Solution
Detailed explanation
\(R =\sqrt{2 gh } \times \sqrt{\frac{(12- h ) \times 2}{ g }}\) \(\sqrt{4 h (12- h )}= R\) For maximum \(R\) \(\frac{ d R }{ dh }=0\) \(\Rightarrow h =6 \;m\)
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