Practice question

MCQ

Question

What is the total pressure at a depth of 2.2m in hydrogen liquid (ρ\=9.0×10−2kg/m3) with atmospheric pressure 1.01×105Pa? (Take g\=9.8m/s2)

Options

Choose one · Correct answer highlighted

1.01 × 10⁵ Pa Correct 1.02 × 10⁵ Pa 1.03 × 10⁵ Pa 1.04 × 10⁵ Pa

Explanation

Total pressure: P = Pa+ρgh. Pa = 1.01×105Pa, ρ = 9.0×10−2kg/m3, g = 9.8m/s2, h = 2.2m. P = 1.01×105+9.0×10−2×9.8×2.2 = 1.01×105+1.94 = 1.0100194×105Pa. 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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