JEE Main202116 Mar 2021Morning ShiftPhysicsMechanical Properties of FluidsActual
The pressure acting on a submarine is 3 × 10 5 Pa at a certain depth. If the depth is doubled, the percentage increase in the pressure acting on the submarine would be: (Assume that atmospheric pressure is 1 × 10 5 Pa density of water is 10 3 kg m - 3 , g = 10 ms - 2 )
Options
- A200 3 %
- B200 5 %
- C5 200 %
- D3 200 %
Correct answer
A. 200 3 %
Step-by-step solution
P 1 = ρ g d + P 0 = 3 × 10 5   Pa ∴   ρ g d = 2 × 10 5   Pa P 2 = 2 ρ g d + P 0 = 4 × 10 5 + 10 5 = 5 × 10 5   Pa % increase = P 2 - P 1 P 1 × 100 = 5 × 10 5 - 3 × 10 5 3 × 10 5 × 100 = 200 3 %