Pressure difference equals density times gravity times height difference

Steps:

• Convert pressure variation to 5000 Pa.
• Apply formula Δh = ΔP / (ρ g).
• Compute ρ g = 14000 × 10 = 140000 Pa/m.
• Δh = 5000 / 140000 ≈ 0.036 m = 36 mm, taken as 40 mm.

Why A is correct:

• Matches ΔP = ρ g Δh, yielding ~40 mm for the height change.

Why the others are wrong:

• B doubles the height by using half the ρ g product.
• C results from forgetting to convert kPa to Pa (5000 m instead of mm).
• D doubles C's error.

Final answer: A