The distance of centre of pressure from free surface of liquid is independent of: 

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SSC JE Mechanical 05 Jun 2024 Shift 2 Official Paper - 1
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  1. the density of liquid
  2. the moment of inertia
  3. the surface area
  4. the distance of C.G. from free surface of liquid

Answer (Detailed Solution Below)

Option 1 : the density of liquid
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Concept-

  • The point at which the total pressure is supposed to act is called as the center of pressure.
  • It is denoted by h and it is given as, h = \(\bar x + \frac{{{I_G}}}{{A\bar x}} \times {\sin ^2}θ \) 
    • Where, \(\bar x\) = Center of gravity from the free surface,IG =Moment of inertia of the object
    • A = Area of object
    • θ = angle of the submerged plate in fluid with a free surface
  • In the above formula, it clearly shows that the depth of the center of pressure is not dependent on the density of the fluid.
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