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The correct answer is option 1.
Let`s dissect each statement to better understand why it is correct or incorrect:
1. The statement says that the pressure on all side-walls increases by P0 when an external pressure P0 is applied to the surface of a liquid in a container. This is correct because the pressure in a fluid is transmitted equally in all directions. So, when an external pressure is applied to the surface of the liquid, it will also be transmitted to the side-walls, causing an increase in pressure by P0.
2. The statement says that the pressure on the bottom wall increases by P0 when an external pressure P0 is applied to the surface of a liquid in a container. This statement is incorrect. The pressure on the bottom wall of the container does not change when an external pressure is applied to the surface of the liquid. The pressure on the bottom wall is determined by the weight of the liquid above it, not by the external pressure applied to the surface.
3. The statement says that the pressure at all points inside the liquid increases by P0 when an external pressure P0 is applied to the surface of the liquid in a container. This statement is incorrect. The pressure inside a fluid at any point depends on the depth of the