Practice question
Question
What is the force on a submarine window (0.09m2) at 200m depth in seawater (ρ\=1.03×103kg/m3), interior at atmospheric pressure? (Take g\=9.8m/s2)
Explanation
Gauge pressure: Pg = ρgh = 1.03×103×9.8×200 = 2.0194×106Pa. F = PgA = 2.0194×106×0.09 = 1.81746×105N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.82 × 10⁵ N. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.