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The correct answer is option 3: turbulent flow of air.
Turbulent flow is characterized by the chaotic and random movement of fluid particles. When a fluid flows past an obstacle, such as in the examples given (smoke from a cigarette, wakes left by moving ships, sound produced by whistling and wind instruments), the flow becomes turbulent. In this state, the fluid breaks up into eddies and vortices, which cause irregular velocity components transverse to the flow direction.
Option 1, laminar flow of air, refers to a smooth and regular flow of air where the fluid particles move in parallel layers. This option is incorrect because the question specifically mentions the smoke and water examples as being irregular and random.
Option 2, streamline flow of air, refers to a type of flow where the fluid particles follow predictable paths without mixing or crossing each other. This option is also incorrect because the question mentions the formation of eddies and vortices, which are not characteristic of streamline flow.
Option 4, viscous flow at low speed, refers to a flow where the fluid particles have high internal friction and move slowly. This option is incorrect because the question does not mention the speed or viscosity of the flow, only the irregular patterns formed.