KVPY2020PhysicsMechanical Properties of Fluids
A submarine has a window of area 30 × 30   cm 2 on its ceiling and is at a depth of 100   m below sea level in a sea. If the pressure inside the submarine is maintained at the sea-level atmosphere pressure, then the force acting on the window is (consider density of sea water = 1 . 03 × 10 3   kg   m - 3 acceleration due to gravity = 10   m   s - 2 ):
Options
- A0 . 93 × 10 5   N
- B0 . 93 × 10 3   N
- C1 . 86 × 10 5   N
- D1 . 86 × 10 3   N
Correct answer
A. 0 . 93 × 10 5   N
Step-by-step solution
P = P 0 + ρ g h P = Pressure on upper surface of window = P 0 + ρ g h P in = Pressure inside the submarine = P 0 Net force = P 0 + ρ g h A - P 0 A = ρ g h A = 1 . 03 × 10 3 × 10 × 100 × 900 × 10 - 4 = 9 . 27 × 10 4 Newton = 0 . 93 × 10 5 Newton