In the streamlined flow of a liquid, the power due to pressure difference between the ends of the tube is (1) Equal to a product of pressure and volume of liquid flowing per second (2) Equal to a product of pressure and mass of liquid flowing per second (3) Equal to the product of radius and coefficient of viscosity (4) Equal to the product of pressure and velocity.

Answer: (1) Equal to a product of pressure and volume of liquid flowing per second

Streamlined flow of a liquid

Streamline flow in fluids is defined as the flow in which the fluids flow in parallel layers such that there is no disruption or intermixing of the layers and at a given point, the velocity of each fluid particle passing by remains constant with time.

In the streamline flow of liquids, the work done by the liquid is the product of the liquid pressure and volume.

W = P × V

Power in streamline flow of liquids is

Power = W/t (work done per second by the liquid)

Power = (P × V)/t

Above equation implies in the streamlined flow of a liquid, the power due to pressure difference between the ends of the tube is equal to a product of pressure and volume of liquid flowing per second.

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