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The diagrams show liquids in containers.Which column of liquid exerts the greatest pressure on the base of its container?Read LessABCD

Question

The diagrams show liquids in containers.

Which column of liquid exerts the greatest pressure on the base of its container?
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A
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Solution

To determine which column of liquid exerts the greatest pressure on the base of its container, we can consider the following steps:

1. Break Down the Problem

We need to identify the heights and densities of the liquids in each of the columns which contribute to the pressure exerted at the base of the container.

2. Relevant Concepts

Pressure exerted by a liquid column can be calculated using the formula: P=h×ρ×g P = h \times \rho \times g Where:

  • PP = Pressure at the base (in Pascals)
  • hh = Height of the liquid column (in meters)
  • ρ\rho = Density of the liquid (in kg/m³)
  • gg = Acceleration due to gravity (approximately 9.81m/s29.81 \, \text{m/s}^2)

3. Analysis and Detail

Assuming we have the heights and densities for each liquid column (which are not provided here), we can calculate the pressure for each:

  1. For Liquid A: PA=hA×ρA×gP_A = h_A \times \rho_A \times g
  2. For Liquid B: PB=hB×ρB×gP_B = h_B \times \rho_B \times g
  3. For Liquid C: PC=hC×ρC×gP_C = h_C \times \rho_C \times g
  4. For Liquid D: PD=hD×ρD×gP_D = h_D \times \rho_D \times g

You would then compare PAP_A, PBP_B, PCP_C, and PDP_D to determine which is the largest.

4. Verify and Summarize

After calculating the pressures for each liquid, you can identify the column with the maximum pressure. Ensure all height and density values are accurately measured and that the units are consistent across calculations.

Final Answer

The column of liquid with the greatest pressure at the base of its container will be the one with the highest product of height and density when using the formula for pressure (P=h×ρ×gP = h \times \rho \times g), resulting in the highest pressure value PP.

This problem has been solved

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