Terminal velocity of the body is directly proportional to the_______________?
Correct answer: D. Square of the diameter of the body
- A. The radius of the body
- B. The diameter of the body
- C. Size of the body
- D. Square of the diameter of the body
Explanation
Stokes' law gives terminal velocity vt = 2r²(ρs − ρf)g/(9η), so with the other factors fixed, vt is proportional to r² and therefore to the square of diameter d². Students may choose radius or diameter directly, overlooking the squared size dependence.
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About Terminal Velocity
Terminal velocity is the constant speed reached when gravitational force is balanced by fluid resistance. The topic covers drag, buoyant force, the conditions for zero acceleration, and how viscosity, object size, shape and density affect the limiting speed, with a distinction between free fall before and after terminal velocity.
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