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Q.

A horizontal oriented tube AB of length 5 m rotates with a constant angular velocity 0.5 rad/s about a stationary vertical axis OO' passing through the end A. The tube is filled with ideal fluid. The end of the tube is open, the closed end B has a very small orifice. The velocity with which the liquid comes out from the hole (in m/s) is____

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answer is 2.

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Detailed Solution

Apply Bernoulli's theorem between two endsP0+ρ∫35 xω2dx=P0+12ρv2⇒ρω2252−32=12ρv2 ⇒ (0.5)2×16=v2⇒v=2m/s
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