GATE ME 2025 Set 1 — Question 16
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Fluid Mechanics → Fluid Kinematics & Dynamics → Applications of Bernoulli
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Question
Consider two identical tanks with a bottom hole of diameter . One tank is filled with water and the other tank is filled with engine oil. The height of the fluid column is same in both the cases. The fluid exit velocity in the two tanks are and . Neglecting all losses, which one of the following options is correct?
Correct answer
(B) V₂ = V₁
Solution
According to Torricelli's law, the velocity of efflux from an orifice at a depth below the free surface of a liquid is given by .In this problem:
For the tank with engine oil, the exit velocity is .Since and are the same for both tanks, .Therefore, the correct option is (B).
- Both tanks are identical.
- The bottom hole diameter is the same.
- The height of the fluid column is the same in both cases.
- Gravitational acceleration is constant.
- All losses are neglected.
For the tank with engine oil, the exit velocity is .Since and are the same for both tanks, .Therefore, the correct option is (B).
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