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A sphere is settling down in viscous fluid at a Reynolds number 0.24. Its drag coefficient is:


1. 100
2. 200
3. 20
4. 10

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Correct Answer - Option 1 : 100

Concept:

Drag force is the resistance force caused by the motion of a body through a fluid, such as water or air. It acts opposite to the direction of motion. This is the relative velocity between the body and the fluid. It is given by:

\({\rm{F}} = \frac{1}{2}{{\rm{C}}_{\rm{d}}}{\rm{\rho A}}{{\rm{v}}^2}\)

Where,

Cd = Drag coefficient which depends on Reynolds Number, ρ = Density of medium/fluid, A = Projected area, and v is the velocity.

Cd values are:

\({{\rm{C}}_{\rm{d}}} = \frac{{24}}{{{{\rm{R}}_{\rm{e}}}}}\)

Calculation:

Given:

Reynolds number, Re = 0.24.

\({{\rm{C}}_{\rm{d}}} = \frac{{24}}{{{{\rm{R}}_{\rm{e}}}}}=\frac{24}{0.24}=100\)

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