Difficulty: Easy
Correct Answer: surface tension minimizing surface area
Explanation:
Introduction / Context:Naturally forming droplets (rain, sprays) are commonly spherical when small. Understanding the dominant force helps in atomization, nozzle design, and environmental modeling.
Given Data / Assumptions:
Concept / Approach:A liquid surface possesses surface tension, an energetic penalty per unit area. For a given volume, the sphere has the minimum surface area. Therefore, surface tension drives a free droplet to become spherical to minimize total surface energy. Cohesion is the molecular origin of surface tension, but the macroscopic effect selecting the sphere is specifically surface tension.
Step-by-Step Solution:
Identify governing forces for a free droplet: inertia, gravity, aerodynamic drag, and surface tension.For small radii, Weber number We = ρ V^2 L / σ is small → surface tension dominates.Surface energy E_s = σ * area is minimized by a sphere for fixed volume.Verification / Alternative check:As drops grow larger or fall faster, they deviate from sphericity (oblate shapes, breakup) when We increases, confirming the role of surface tension vs inertia.
Why Other Options Are Wrong:Adhesion pertains to unlike materials (liquid/solid/air interfaces) and is not the primary cause; viscosity resists rate of deformation but does not set the equilibrium shape; “cohesion” is microscopic—surface tension is the correct macroscopic descriptor.
Common Pitfalls:Assuming all raindrops are spherical regardless of size; large raindrops become distorted and may break.
Final Answer:surface tension minimizing surface area
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