In the arrangement shown, both the vessels A | vedclass

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

Question

(B) Let the cross-sectional area of the vessels be $S$. Let the height of the water level in vessel $A$ be $h_A$ and in vessel $B$ be $h_B$. Since the

Vedclass · Accepted Answer

From $B$ to $A$

Vedclass · Answer

(B) Let the cross-sectional area of the vessels be $S$. Let the height of the water level in vessel $A$ be $h_A$ and in vessel $B$ be $h_B$. Since the amount of water in $B$ is double that in $A$, we have $S \cdot h_B = 2(S \cdot h_A)$, which implies $h_B = 2h_A$.Let $P_A$ and $P_B$ be the pressures exerted by the water at the bottom of vessels $A$ and $B$ respectively. The pressure at the bottom is given by $P = P_{ext} + \rho gh$, where $P_{ext}$ is the pressure exerted by the piston.For the lever to be in equilibrium, the forces exerted by the pistons on the water must be equal (assuming the lever arm is balanced at the center). Let $F$ be the force exerted by each piston. Then $P_{ext} = F/S$ is the same for both vessels.Thus, $P_A = F/S + \rho gh_A$ and $P_B = F/S + \rho gh_B$.Since $h_B > h_A$, it follows that $P_B > P_A$.When the valve is opened, water flows from a region of higher pressure to a region of lower pressure. Therefore, water will flow from $B$ to $A$.

Similar Questions

Give the names of physical quantities which are needed to describe a fluid.

$A$ $U$ tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are at the same level with $10\,cm$ of water in one arm and $12.5\,cm$ of spirit in the other,as shown in the figure. The relative density of the spirit is

An open $U$-tube contains mercury. When $11.2 \,cm$ of water is poured into one of the arms of the tube, how high does the mercury rise in the other arm from its initial level (in $\,cm$)?

$A$ uniform long tube is bent into a circle of radius $R$ and it lies in a vertical plane. Two liquids of the same volume but densities $\rho$ and $\delta$ fill half the tube. The angle $\theta$ is

$A$ cylinder stands vertically in two immiscible liquids of densities $\rho$ and $2\rho$. The heights of the two liquids are shown in the figure. Find the difference in pressure at point $A$ and point $B$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module