Fluid Mechanics
The pressure drop per unit length of pipe incurred by a fluid 'X' flowing through pipe is Δp. If another fluid 'Y' having both the specific gravity & density just double of that of fluid 'X', flows through the same pipe at the same flow rate/average velocity, then the pressure drop in this case will be

Δp²
Δp/2
2Δp
Δp

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Fluid Mechanics
Shear stress in a fluid flowing in a round pipe

Is zero at the wall and increases linearly to the centre
Remains constant over the cross-section
Is zero at the centre and varies linearly with the radius
Varies parabolically across the cross-section

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