Practice question
Question
What is the total pressure at a depth of 1.6m in air (ρ\=1.29kg/m3) with atmospheric pressure 1.01×105Pa? (Take g\=9.8m/s2)
Explanation
Total pressure: P = Pa+ρgh. Pa = 1.01×105Pa, ρ = 1.29kg/m3, g = 9.8m/s2, h = 1.6m. P = 1.01×105+1.29×9.8×1.6 = 1.01×105+20.23 = 1.0102023×105Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.01 × 10⁵ Pa. This satisfies dimensional consistency and physical conditions given, so option A is scientifically correct.
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