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Question 30934
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Fluid Mechanics: Terminal Velocity MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Terminal VelocityHardQuestion 30934

Question

Terminal velocity of a sphere (radius r, density ρ_s) falling in fluid (density ρ_f, viscosity η) is:
  1. A
    2r²(ρ_s−ρ_f)g/(9η)
    Correct
  2. B
    r²(ρ_s−ρ_f)g/(6η)
  3. C
    9η/(2r²(ρ_s−ρ_f)g)
  4. D
    2r²ρ_sg/(9η)

Correct answer

2r²(ρ_s−ρ_f)g/(9η)

Explanation

At terminal velocity, weight = buoyancy + drag. Solving: v_t = 2r²(ρ_s − ρ_f)g / (9η).

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