Questions: As shown in the figure, fluid fills a container having several sections. At which of the indicated points is the pressure greatest?

As shown in the figure, fluid fills a container having several sections. At which of the indicated points is the pressure greatest?
Transcript text: As shown in the figure, fluid fills a container having several sections. At which of the indicated points is the pressure greatest?
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Solution

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Solution Steps

Step 1: Understanding the Problem

We need to determine at which of the indicated points (A, B, C, or D) the pressure is greatest in a fluid-filled container with several sections.

Step 2: Applying the Principle of Fluid Pressure

In a static fluid, the pressure at a given depth is the same regardless of the container's shape. The pressure at a point in a fluid is given by the equation: P=P0+ρgh P = P_0 + \rho gh where:

  • P P is the pressure at the point,
  • P0 P_0 is the atmospheric pressure,
  • ρ \rho is the fluid density,
  • g g is the acceleration due to gravity,
  • h h is the depth of the point below the fluid surface.
Step 3: Comparing Depths of Points
  • Point A is at the surface, so its depth hA=0 h_A = 0 .
  • Point B is at depth h h .
  • Point C is at the same horizontal level as B, so its depth hC=h h_C = h .
  • Point D is at the same horizontal level as B and C, so its depth hD=h h_D = h .

Final Answer

The pressure is greatest at points B, C, and D because they are at the same depth h h below the fluid surface. Since the pressure at a given depth in a static fluid is the same, the pressure at points B, C, and D is equal and greater than at point A.

Therefore, the correct answer is:

  • B, C, and D have the greatest pressure, but since the options do not allow multiple selections, we can choose any one of them. For instance, we can choose B.
Final Answer
  • B
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