Which of the following is the correct expression for pressure intensity? 

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SSC JE Mechanical 9 Oct 2023 Shift 2 Official Paper-I
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  1. P = ρgh
  2. P = 0.5 ρgh
  3. P = 2 ρgh
  4. P = 1.5 ρgh

Answer (Detailed Solution Below)

Option 1 : P = ρgh
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Detailed Solution

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Explanation:
  • The pressure in a static fluid is determined by the vertical depth from the surface and is unaffected by the form or size of the container.
  • The pressure in a static fluid is also affected by the density of the fluid and gravity's acceleration.
  • The pressure exerted by the liquid increases with increasing depth inside the liquid.
  • The pressure due to the weight of a liquid of constant density is given by
     \(P = ρgh\) 
    where is the pressure, h is the depth of the liquid\(ρ\) is the density of the liquid, and g is gravity's acceleration.

Additional Information:

  • Both depth and weight density are directly related to pressure.
  • At a certain depth, liquid pressure remains constant in all directions.
  • A liquid seeks its own level.
  • Liquid exerts pressure on sides of the container.
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