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#water depth

2 public questions tagged with this topic.

Surface Tension, Capillarity and Excess Pressure

What is the gauge pressure at a depth of 2.9m in water (ρ\=1000kg/m3)? (Take g\=10m/s2)

Gauge pressure: Pg = ρgh. ρ = 1000kg/m3, g = 10m/s2, h = 2.9m. Pg = 1000×10×2.9 = 29000Pa = 2.9×104Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.9 × 10⁴ Pa. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.

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Surface Tension, Capillarity and Excess Pressure

A bubble of radius 6.5mm is blown at 55cm depth in water (ρ\=1000kg/m3, S\=0.0727N/m). What is the total pressure inside

Pi = Pa+ρgh+2Sr. Pa = 1.01×105Pa, ρgh = 1000×9.8×0.55 = 5390Pa. 2Sr = 2×0.07276.5×10−3 = 22.34Pa. Pi = 1.01×105+5390+22.34 = 1.06392×105Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.06 × 10⁵ Pa. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.

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