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?
Read Less
A
B
C
D
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: Where:
- = Pressure at the base (in Pascals)
- = Height of the liquid column (in meters)
- = Density of the liquid (in kg/m³)
- = Acceleration due to gravity (approximately )
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:
- For Liquid A:
- For Liquid B:
- For Liquid C:
- For Liquid D:
You would then compare , , , and 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 (), resulting in the highest pressure value .
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