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What will be the terminal velocity of a rain drop of radius (r) 1mm and mass (M) 0.001g falling through air. The coefficient of viscosity of air (η) is 1.8 X 10-5Ns/m2? Neglect buoyant force.
  • a)
    20 m/s
  • b)
    29.47 m/s
  • c)
    35.8 m/s
  • d)
    40 m/s
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What will be the terminal velocity of a rain drop of radius (r) 1mm an...
At terminal velocity, Mg = viscous force. Therefore, 0.001*10-3*10 = 6πηrv ∴ v = 10-5/ 6πηr = 10-5 / ( 6π*1.8 X 10-5*0.001) = 29.47 m/s.
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What will be the terminal velocity of a rain drop of radius (r) 1mm and mass (M) 0.001g falling through air. The coefficient of viscosity of air (η) is 1.8 X 10-5Ns/m2? Neglect buoyant force.a)20 m/sb)29.47 m/sc)35.8 m/sd)40 m/sCorrect answer is option 'B'. Can you explain this answer?
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