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#depth pressure

2 public questions tagged with this topic.

Bernoulli's Theorem and Applications

The pressure at a depth of 3m in ethyl alcohol (ρ\=806kg/m3) is measured with atmospheric pressure as 1.01×105Pa. What i

Total pressure: P = Pa+ρgh. Pa = 1.01×105Pa, ρ = 806kg/m3, g = 10m/s2, h = 3m. P = 1.01×105+806×10×3 = 1.01×105+24180 = 1.2518×105Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.25 × 10⁵ 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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Bernoulli's Theorem and Applications

A bubble of radius 3.5mm is blown at 15cm 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 = 1000×9.8×0.15 = 1470Pa. 2Sr = 2×0.07273.5×10−3 = 41.54Pa. Pi = 1.01×105+1470+41.54 = 1.02471×105Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.025 × 10⁵ 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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