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A Levels Physics (9702)•9702/13/M/J/24
Question 14 from 9702/13/M/J/24

Explanation

Pressure at a depth in a liquid depends on the height of the liquid above it

Steps:

  • Recall that hydrostatic pressure at a point equals the weight of the liquid column above it, given by P = ρgh, where ρ is density, g is gravity, and h is depth.
  • Assume positions are at the base of each cylinder, as typical for such problems.
  • Compare liquid heights: identify the maximum height for greatest pressure.
  • Select the cylinder with the tallest liquid column above the position.

Why B is correct:

  • Cylinder B has the greatest liquid height, so maximum depth h, yielding highest P = ρgh.

Why the others are wrong:

  • A: Shorter height than B, so lower pressure.
  • C: Intermediate height, less than B's depth.
  • D: Shortest height, minimal pressure.

Final answer: B

Topic: Density and pressure

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