A Levels Physics (9702)•9702/13/M/J/25

Explanation
Hydrostatic pressure increases linearly with depth
Steps:
- Total liquid volume is 80 cm³, corresponding to total height H (assuming uniform cross-section).
- The 60 cm³ mark is at height (60/80)H = 0.75H from the base.
- Depth from surface to 60 cm³ mark is H - 0.75H = 0.25H; pressure there is ρg × 0.25H = 120 Pa.
- Depth at base is H, so pressure is ρg × H = 120 Pa / 0.25 = 480 Pa.
Why D is correct:
- Hydrostatic pressure formula P = ρgh shows pressure proportional to depth; base depth is 4× that at 60 cm³ mark, so 4×120 Pa = 480 Pa.
Why the others are wrong:
- A: Equals pressure at 60 cm³ mark, ignores additional depth to base.
- B: Assumes incorrect depth ratio (e.g., 80/60), underestimates by factor of 3.
- C: Assumes depth ratio of 3 (e.g., 60/20), overestimates partial depth.
Final answer: D
Topic: Density and pressure
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