A liquid at outlet with velocity V, in horizontal tube; reaction force exerted by liquid upon tube" 'is propositional to
Correct answer: B. V2
- A. V
- B. V2
- C. 1/V2
- D. V4
Explanation
The correct answer is V2. In fluid dynamics, when a fluid exits a tube with a certain velocity, the reaction force on the tube is proportional to the momentum change, which is a function of mass flow rate and velocity. Since mass flow rate is constant, the force is proportional to the square of the velocity, V2. Option A is incorrect because a linear relationship does not capture the dynamics of momentum change. Option C is incorrect as it suggests an inverse relationship, which is not applicable here. Option D is incorrect because a quartic relationship does not fit the principles of fluid dynamics governing this situation.
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About Fluid Dynamics
Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.
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