Concepts Of Physics MCQ Edition [Volume 1]PhysicsFluid Mechanics
The pressure in a liquid is equal at two points in the same horizontal plane. Consider an elevator accelerating upward and a car accelerating on a horizontal road. This statement is valid in
Options
- Aonly the car
- Bonly the elevator
- Cboth of them
- Dneither of them
Correct answer
B. only the elevator
Step-by-step solution
The variation of pressure in a fluid accelerating with an acceleration a is given by P = ( g - a ) = g _ eff . For the pressure to be equal at two points in the same horizontal plane, the effective gravity g _ eff must be purely vertical, meaning it should have no horizontal component. In the case of an elevator accelerating upward, the acceleration a is vertical. Therefore, g _ eff = g - a is also purely vertical. The horizontal pressure gradient is zero, and the pressure is equal at all points in the same horizon