A) water level will oscillate about a height of\[{{U}^{2}}/2g\] is reached and remains constant
B) water level will rise till a height of \[{{U}^{2}}/2g\]reached and remains constant there after
C) no water will remains in the beaker
D) none of the above
Correct Answer: B
Solution :
Initially the rate of efflux will be less then the rate of influx, so the water level will rise. As the water level rises, a situation will arrive when these two rates become equal. After this situation there will be no change in the height of the water level. Let the height of the water level when there is no change in its value be h. Condition for water level to become constant is Rate of influx = Rate of efflux \[Au=A\sqrt{2gh}\Rightarrow h=\frac{{{u}^{2}}}{2g}\] Hence, the correction option is [b].
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