JEE Mains · Physics · STD 11 - Fluid mechanics
- JEE Mains 2019
- Medium
- MCQ
The top of a water tank is open to air and its water level is maintained. It is giving out \(0.74\,m^3\) water per minute through a circular opening of \(2\,cm\) radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to........ \(m\)
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) \(4.8\)
Step-by-step Solution
Detailed explanation
\(\frac{{dv}}{{dt}} = Av \Rightarrow \frac{{dv}}{{dt}} = A\sqrt {2gh} \)
\( \Rightarrow \frac{{0.74}}{{60}} = \left( {3.14} \right){\left( {\frac{2}{{100}}} \right)^2}\sqrt {2\left( {9.8} \right)h} \)
\( \Rightarrow h = 4.92\,m\)
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