A 2 m long tube closed at one end is lowered vertically into water until the closed end is flush with the water surface. Calculate the water level height in the tube. (Barometric pressure = 1 atm = 10

Question

A 2 m long tube closed at one end is lowered vertically into water until the closed end is flush with the water surface. Calculate the water level height in the tube. (Barometric pressure = 1 atm = 10 m of water, T = 25°C, density of water = 1.00 g/ml, neglect water vapour pressure)

Prashant Kotian · Accepted Answer

Correct answer: C. Let h = height of water entering. Boyle's: 10 × 2 = P₂ × (2 - h); P₂ = 10 + (2 - h) = 12 - h. So 20/(2-h) = 12-h → h² - 14h + 4 = 0 → h = 7 - √45 ≈ 0.29 m. Air column height = 2 - 0.29 = 1.71 m.

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