STANDARD Physics Pressure in Fluids MCQ Question
The force acting on a window of area 50 cm × 50 cm of a submarine at a depth of 2000 m in an ocean, the interior of which is maintained at sea level atmospheric pressure is (Density of sea water = 10³ kg m⁻³, g = 10 m s⁻²)
5 × 10⁵ N
25 × 10⁵ N
5 × 10⁶ N
25 × 10⁶ N
Correct Answer
Detailed Explanation
At a depth of 2000 m, the pressure is calculated using P = Pₐ + ρgh, where Pₐ is atmospheric pressure. The gauge pressure is ρgh = 10³ × 10 × 2000 = 2 × 10⁷ N/m². The force is pressure times area: 2 × 10⁷ × 0.25 = 5 × 10⁶ N.
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