COMEDK · Physics · 11. Mechanical Properties of Fluids
Water is poured in a tank through a cylindrical tube of area of cross-section \(A\) and ejecting water at a constant speed \(4 \mathrm{~m} / \mathrm{s}\). The tank contains a hole of area \(\dfrac{A}{2}\) at bottom. Level of water in the tank will not go up beyond
- A \(5.6 \mathrm{~m}\)
- B \(4.8 \mathrm{~m}\)
- C \(3.2 \mathrm{~m}\)
- D \(1.8 \mathrm{~m}\)
Answer & Solution
Correct Answer
(C) \(3.2 \mathrm{~m}\)
Step-by-step Solution
Detailed explanation
Let \(A_{in} = A\) be the area of the inlet tube and \(v_{in} = 4 \text{ m/s}\) be the velocity of water entering the tank. Let \(A_{out} = \dfrac{A}{2}\) be the area of the hole at the bottom of the tank. The level of water in the tank stops rising when the rate of water…
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