Figure shows the vertical cross-section of a vessel filled with a liquid of density ρ. The normal thrust per unit area on the walls of the vessel at point P, as shown will be

Question

Figure shows the vertical cross-section of a vessel filled with a liquid of density ρ. The normal thrust per unit area on the walls of the vessel at point P, as shown will be (A) h ρ g (B) H ρ g (C) (H-h) ρ g (D) (H-h) ρ g cos θ

Tardigrade Admin · Accepted Answer

Depth of point P below the free surface of water in the vessel =(1+h). Since, the liquid exerts equal pressure in all direction at one level, hence the pressure at P=(H-h) ρ g.

Q. Figure shows the vertical cross-section of a vessel filled with a liquid of density $ρ$ . The normal thrust per unit area on the walls of the vessel at point $P$ , as shown will be

$h ρ g$

$H ρ g$

$(H - h) ρ g$

$(H - h) ρ g cos θ$

Depth of point $P$ below the free surface of water in the vessel $= (1 + h)$ .
Since, the liquid exerts equal pressure in all direction at one level, hence the pressure at $P = (H - h) ρ g$ .

Q. Figure shows the vertical cross-section of a vessel filled with a liquid of density ρ. The normal thrust per unit area on the walls of the vessel at point P, as shown will be

hρg

Hρg

(H−h)ρg

(H−h)ρgcosθ