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KVPY2017PhysicsMechanical Properties of Fluids

A cylindrical vessel of base radius R and height H has a narrow neck of height h and radius r at one end (see figure). The vessel is filled with water (density _ w ) and its neck is filled with immiscible oil (density . _ O ) . Then the pressure at

Options

  1. AM is g (h ₀+H _ w )
  2. BN is g (h ₀+H _ w ) r² R²
  3. CM is g H p_ w
  4. DN is g _ w H R²+ ₀ h r² R²+r²

Correct answer

A. M is g (h ₀+H _ w )

Step-by-step solution

Pressure at same height is same P_ M =P_ N = ₀ g H+ _ w g H

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