Question

In a streamline flow:
A. The speed of the particle always remains the same.
B. The velocity of the particle always remains the same.
C. The kinetic energies of all the particles arriving at a given point are the same.
D. The momenta of all the particles arriving at the given point are the same.

Answer 1

Hint:The flow of liquid refers to the movement of a liquid from one point to another. The flow can be either steady or unsteady depending on the passage. Streamline flow is a parallel-layered flow of liquid. These points must be remembered while approaching the question.

Complete answer:
Streamline flow of a liquid occurs when the flow of liquid occurs with a smooth texture and a low value of flow rate. In such situations when another liquid is introduced in streamline flow, the liquids don’t tend to mix but they flow conveniently. In streamline flow, the layers of liquids have a parallel flow. Hence, there is no interruption in the flow. Thus, when we consider any point in the motion, it has the same speed with which it flows. Thus we can say that the speed of any particle in streamline flow always remains the same.

Hence we can conclude that option A is the correct answer.

Additional information:
We have observed that water flowing from a tap has a smooth texture when the flow rate is low, but as the flow rate is increased, after reaching a certain value, voids and disturbances can be seen in. In such a situation, if we introduce a stream of ink when the flow is smooth, the ink flows without mixing with the other layers whereas if it is introduced in the case of turbulent flow, we can see the mixing of the layer of ink with the other layers of water as shown in the figure below. In this section, we will learn about the first kind, i.e., the streamline or the laminar flow.

Note:The flow of liquid relies on the reference frame. That is, even though the flow of the streamline is constant, it might appear unsteady from another person’s point of view while it appears steady from someone else’s point of view.