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UPCET / UPSEE Terminal Velocity — practice questions

Explore 1 free Terminal Velocity questions in UPCET / UPSEE Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Terminal Velocity questions and exercises with answers

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The condition for **terminal velocity** of a sphere falling in a viscous fluid is that:Read the answer and worked solution →

Worked practice questions

The condition for **terminal velocity** of a sphere falling in a viscous fluid is that:

  1. Viscous force exceeds gravity
  2. Net force is zero: weight = viscous drag + buoyant force
  3. The fluid is at rest
  4. Gravity is zero
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Correct answer: B. Net force is zero: weight = viscous drag + buoyant force

At terminal velocity, sphere falls at constant speed: net force = 0. $mg = 6\pi\eta r v_t + (4/3)\pi r^3 \sigma g$ (sphere weight = viscous drag + upthrust). Solving gives $v_t = (2/9)r^2(\rho - \sigma)g/\eta$.

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