Along a streamline flow of fluid

the velocity of all fluid particles at a given instant is constant

the speed of a fluid particle remains constant

the velocity of all fluid particles crossing a given position is constant

the velocity of a fluid particle remains constant

Answer is Right!

Answer is Wrong!

This question was previously asked in

UPSC NDA-2 – 2016

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Along a streamline flow of fluid, the velocity of all fluid particles crossing a given position is constant.

Streamline flow is a characteristic of steady flow. In steady flow, the velocity of the fluid at any fixed point in space does not change over time. Therefore, any fluid particle that passes through a particular point will have the same velocity as any other particle that passes through that same point at a different time. Streamlines are the paths followed by fluid particles in steady flow.

Option A is incorrect because the velocity can vary from one streamline to another at a given instant. Option B is incorrect because the speed of a particle can change along a streamline if the cross-sectional area of the flow changes (e.g., in a converging or diverging pipe, based on the continuity equation). Option D is incorrect because the velocity of a specific fluid particle changes as it moves along a streamline, unless the flow is uniform (velocity is the same everywhere). Option C accurately describes a key property of steady flow: the velocity field is constant with respect to time.

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