Which one of the following statements is not correct?

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In steady flow of a liquid, the velocity of liquid particles reaching at a particular point is the same at all points

Steady flow is also called streamlined flow

In steady flow, each particle may not follow the same path as taken by a previous particle passing through that point

Two streamlines cannot intersect each other

Answer is Right!

Answer is Wrong!

This question was previously asked in

UPSC NDA-2 – 2015

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The correct answer is C) In steady flow, each particle may not follow the same path as taken by a previous particle passing through that point. This statement is incorrect. In steady flow (or streamlined flow), the velocity of the fluid at any given point in space is constant over time. Consequently, the path followed by every fluid particle passing through a particular point is the same as the path followed by previous particles passing through that same point. These paths are called streamlines.

In steady flow, streamlines are fixed paths in space, and fluid particles follow these fixed paths.

Statement A is poorly phrased but likely intends to convey that velocity at a fixed point is constant over time, which is true for steady flow, though the “at all points” part is confusing. Statement B is correct; steady flow is also known as streamlined flow. Statement D is correct; streamlines cannot intersect because if they did, a fluid particle at the intersection would have two different velocity vectors simultaneously, which is physically impossible.

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