Final answer:
Without specific values for viscosity and densities, the exact settling velocity of a 100 micron diameter particle under Stokes flow cannot be determined. Stokes' law equation is needed with those values to find the correct terminal velocity. The student is expected to use conceptual knowledge to estimate or choose the most reasonable answer from provided options. so, none of the options are correct.
Step-by-step explanation:
The student is asking about the settling velocity of a 100 micron diameter particle in Stokes flow conditions. Stokes' law can be used to find the terminal or settling velocity of a particle in a viscous fluid when the motion is in the laminar flow regime. Under Stokes flow conditions, the drag force is balanced by the gravitational force, and the particle settles at a constant velocity.
Since the exact values for the viscosity of the fluid, the density of the particle, and the density of the fluid are not provided, we cannot calculate the exact settling velocity for this 100 micron diameter particle. Stokes' law is represented by the equation:
v = (2/9) * (g * (ρp - ρf) * d2) / η
Where:
- v is the terminal velocity,
- g is the acceleration due to gravity,
- ρp is the density of the particle,
- ρf is the density of the fluid,
- d is the diameter of the particle, and
- η is the dynamic viscosity of the fluid.
To provide an answer, the appropriate physical constants and properties specific to the particle and fluid in question must be known. However, the multiple-choice options suggest that exact calculation may not be necessary, and a conceptual understanding of Stokes' flow could lead to an estimation or selection of the most reasonable answer choice provided.