When a vertical wall is subjected to a pressure due to liquid on both sides, the resultant pressure is the _______ of these two pressures.
- ASum
- BDifferenceCorrect
- CArithmetic Mean
- DGeometric Mean
Solution
Concept
When liquid pushes a vertical wall from both sides, the net pressure acting on the wall is the difference between the two opposing pressures because they act in opposite directions.
Formula
Pnet = P1 - P2
Step-by-step solution
1. Understand that liquid pressure acts perpendicular to the submerged vertical wall on both sides. 2. Let the pressure from the first liquid side be P1 and from the other side be P2. 3. Since both pressures push in opposite directions against each other, the net or resultant pressure is found by subtracting the smaller pressure from the larger one. 4. Therefore, the resultant pressure is the difference of the two pressures. Answer: (B) Difference
Explanation
Liquid pressure pushes outwards in all directions. When a wall has liquid on both sides, the pressures push against each other. The net force or pressure is the difference between the two opposing forces.
Why the other options are wrong
A: Sum is wrong because opposing pressures subtract, not add. C: Arithmetic Mean is wrong because pressures do not average out. D: Geometric Mean is wrong because pressures combine algebraically, not geometrically.
Shortcut
Opposing forces always subtract each other to find the net effect.
Common mistake
Adding both pressures together, forgetting that they act in opposite directions.
Correct answer: B) Difference