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MHT CET202411 May 2024Evening ShiftPhysicsMechanical Properties of FluidsActual

Two rain drops of same radius are falling through air each with a steady speed of 5 ~cm / s . If the drops coalesce, the new steady velocity of big drop will be

Options

  1. A5 ~cm / s
  2. B5 2 ~cm / s
  3. C5 2^ 1 / 3 ~cm / s
  4. D5 (4)^ 1 / 3 ~cm / s

Correct answer

D. 5 (4)^ 1 / 3 ~cm / s

Step-by-step solution

Terminal speed v r ^2 array ll & v₁ v₂ = r^2 R^2 = r^2 (2^ 1 / 3 r )^2 & v₂=v₁ (2^ 1 / 3 r )^2 r^2 =5 2^ 2 / 3 =5 4^ 1 / 3 ~cm ~s ⁻¹ array

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