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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

  1. Aonly the car
  2. Bonly the elevator
  3. Cboth of them
  4. 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

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