Practice question
Question
What is the gauge pressure at a depth of 2.7m in mercury (ρ\=13.6×103kg/m3)? (Take g\=9.8m/s2)
Explanation
Gauge pressure: Pg = ρgh. ρ = 13.6×103kg/m3, g = 9.8m/s2, h = 2.7m. Pg = 13.6×103×9.8×2.7 = 359856Pa = 3.59856×105Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.6 × 10⁵ Pa. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.