Answer

Verified

21.6k+ views

**Hint:**We know that the continuity equation reflects the fact that mass is conserved in any non-nuclear continuum mechanics analysis. The equation is developed by adding up the rate at which mass is flowing in and out of a control volume, and setting the net in-flow equal to the rate of change of mass within it. Continuity principle, or continuity equation, Principle of fluid mechanics. Stated simply, what flows into a defined volume in a defined time, minus what flows out of that volume in that time, must accumulate in that volume. The principle is a consequence of the law of conservation of mass. Based on this equation, it is required to solve this problem.

**Complete step by step answer**

We know that the force has been exerted by liquid on the tube due to change in momentum at the corners i.e., when liquid is taking turn from A to B and from B to C. As cross - section area at A is half of that of B and C, so velocity of liquid flow at B and C is half to that of velocity at A. Let velocity of flow of liquid at A be v and cross section area at A be S, the velocity of flow of liquid at B and C would be $v / 2$ [from continuity equation] and cross section area at B and C would be 2S.

Due to flow of liquid, it is exerting a force per unit time of $\rho \mathrm{Sv}^{2}$ on the tube, where $\rho$ is the density of liquid, S is cross section area and v is velocity of flow of liquid. The force exerted by liquid on the tube is shown in the figure. Which clearly shows that a net force is acting on the tube due to flowing liquid towards right and a clockwise torque sets in.

**Therefore, only statements I and V are correct. So, the correct answer is option A.**

**Note**We know that the common applications of continuity equations are used in pipes, tubes and ducts with flowing fluids or gases, rivers, overall procedure as diaries, power plants, roads, logistics in general, computer networks and semiconductor technologies and some other fields. If steady flow exists in a channel and the principle of conservation of mass is applied to the system, there exists a continuity of flow, defined as the mean velocities at all cross sections having equal areas are then equal, and if the areas are not equal, the velocities are inversely proportional to the areas of flow.

Recently Updated Pages

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Let f be a twice differentiable such that fleft x rightfleft class 11 maths JEE_Main

Find the points of intersection of the tangents at class 11 maths JEE_Main

For the two circles x2+y216 and x2+y22y0 there isare class 11 maths JEE_Main

The path difference between two waves for constructive class 11 physics JEE_MAIN

What is the difference between solvation and hydra class 11 chemistry JEE_Main

Other Pages

The electronic configuration of chloride ion is A 2 class 11 chemistry JEE_Main

When the diameter of the conductor is doubled then class 12 physics JEE_Main

Equipotential at a great distance from a collection class 12 physics JEE_Main

A household uses the following electric appliances class 12 physics JEE_Main

Define 1 Ohm resistance A student has a resistance class 12 physics JEE_Main

A metallic rod PQ of length l is rotated with an angular class 12 physics JEE_Main