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The force exerted by a static fluid on a vertical, horizontal or an inclined plane surface that is immersed depends on the:


1. density of the liquid, area of the immersed surface and depth of the centre of gravity of the immersed surface 
2. area of the immersed surface
3. density of the liquid only
4. density of the liquid and area of the immersed surface

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Correct Answer - Option 1 : density of the liquid, area of the immersed surface and depth of the centre of gravity of the immersed surface 

Explanation:

Hydrostatic Forces:

(i) Fluid statics or hydrostatics is the branch of fluid mechanics in which stresses generated in fluid system is determined when it is at rest or static condition.

(ii) Force exerted by the fluid on the surface with which it is in contact is called Total Hydrostatic Force.

(iii) The point of application of total hydrostatic force on the surface is known as centre of pressure.

Total Hydrostatic Force on a Horizontal Plane and inclined surface:

 Consider a plane surface immersed in a static mass of liquid of specific weight γ, such that it is held in a horizontal position at a depth h below the free surface of the liquid and if the surface is in vertical position such that the centroid of the surface is at depth of h̅ below the free surface. A is the area of the total surface, then the total hydrostatic force on the horizontal surface,

F = γAh̅ 

γh̅ is the pressure intensity at the centroid of the surface. Therefore, it can be stated that the total hydrostatic force on a plane surface is equal to the product of the surface area and the intensity of pressure at the centroid of the area.

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