A Levels Physics (9702)•9702/11/M/J/25

Explanation
Hydrostatic pressure difference Steps:
- Pressure due to sea water at depth h is P = ρ g h (gauge pressure, density ρ constant).
- At 30 m: p = ρ g × 30.
- At 60 m: P₂ = ρ g × 60 = 2p.
- Difference: P₂ - p = ρ g × (60 - 30) = ρ g × 30 = p.
Why C is correct:
- By the hydrostatic pressure formula, ΔP = ρ g Δh; here Δh = 30 m equals the initial depth, so ΔP = p.
Why the others are wrong:
- A. 0: Depths differ, so pressures differ by ρ g Δh ≠ 0.
- B. 0.5p: Requires Δh = 15 m, but actual Δh = 30 m.
- D. 2p: Requires Δh = 60 m, but actual Δh = 30 m.
Final answer: C
Topic: Density and pressure
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