The vessel shown in the figure has two sectio | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) $1$. The pressure at the base of the vessel is given by $P = \rho g H$,where $H = 2h$. Thus,$P = 2h\rho g$.$2$. The force $F$ exerted by the liqui

Vedclass · Accepted Answer

The walls of the vessel exert a downward force $(F-W)$ on the liquid.

Vedclass · Answer

(D) $1$. The pressure at the base of the vessel is given by $P = ho g H$,where $H = 2h$. Thus,$P = 2hho g$.$2$. The force $F$ exerted by the liquid on the base is $F = P 	imes A = 2hho gA$.$3$. The volume of the lower section is $V_1 = A 	imes h$. The volume of the upper conical frustum section is $V_2 = \frac{h}{3}(A + a + \sqrt{Aa})$. The total weight of the liquid is $W = ho g(V_1 + V_2) = ho g(Ah + \frac{h}{3}(A + a + \sqrt{Aa}))$.$4$. Comparing $F$ and $W$,since the vessel narrows towards the top,the walls exert an upward force on the liquid,meaning the weight $W$ is less than the force $F$ on the base $(F > W)$.$5$. The net downward force on the liquid is $W + F_{wall, downward} = F$. Since the walls exert an upward force,the force exerted by the walls on the liquid is $W - F$,which is negative,implying an upward force of magnitude $F - W$.

Similar Questions

In the figure shown,the heavy cylinder (radius $R$) resting on a smooth surface separates two liquids of densities $2\rho$ and $3\rho$. The height '$h$' for the equilibrium of the cylinder must be

State whether the following statements are True or False:
$(i)$ In incompressible flow,the density of a fluid changes with time and position.
$(ii)$ Non-viscous flow can be a streamline flow.
$(iii)$ In a steady flow,the velocity of the fluid at each point remains identical with time.

The relative humidity on a day,when the partial pressure of water vapour is $0.012 \times 10^5 \, Pa$ at $12^{\circ}C$,is ......... $\%$. (Take the vapour pressure of water at this temperature as $0.016 \times 10^5 \, Pa$.)

Vedclass Test Series

Exam Paper Generator

Online Exam Module