The L-shaped glass tube is just immersed in flowing water...

The L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is $v$, then (a) the water in the tube rises to height $\frac{v^{2}}{2 g}$ (b) the water in the tube rises to height $\frac{g}{2 v^{2}}$ (c) the water in the tube does not rise at all (d) None of these

The L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is $v$, then
(a) the water in the tube rises to height $\frac{v^{2}}{2 g}$
(b) the water in the tube rises to height $\frac{g}{2 v^{2}}$
(c) the water in the tube does not rise at all
(d) None of these

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Key Concepts

Bernoulli's Principle

This principle states that for an incompressible, non-viscous fluid flowing along a streamline, the sum of its kinetic energy, potential energy, and pressure remains constant. In many fluid problems, variations in flow speed lead to differences in pressure, which can be used to predict phenomena such as pressure drops or increases in certain regions of the flow.

Stagnation Pressure

Stagnation pressure is the pressure measured at a point in a fluid where the velocity is brought to zero. It is calculated using the fluid's dynamic pressure, which is proportional to the square of the flow speed, and is critical in situations where a moving fluid is abruptly decelerated, converting its kinetic energy into static pressure.

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at rest due to the gravitational force acting on it. This pressure increases linearly with depth in a fluid and establishes a relationship between the height of a fluid column and the pressure at its base, which is essential in understanding how pressure differences can cause fluid elevation.

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