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Show that a liquid in a state of equilibrium of rest exerts a force perpendicular to the surface only.

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Let a given quality of liquid exert force F in a direction θ with the horizontal. Resolving, we get Fcos θ along horizontal surface of liquid and Fsin θ along the vertical.

As there is no flow of liquid so Fcos θ should be zero.

Since, F ≠ 0, cos θ = 0

Or              θ = 90°

i.e., a liquid at rest exerts normal force to the walls of the container.

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