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AP EAMCET2008PhysicsMechanical Properties of Fluids

Two rain drops reach the earth with different terminal velocities having ratio 9: 4 . Then the ratio of their volumes is

Options

  1. A3: 2
  2. B4:9
  3. C9:4
  4. D27:8

Correct answer

D. 27:8

Step-by-step solution

Terminal velocity, v_T r^2 aligned & v_ T₁ v_ T₂ = r₁^2 r₂^2 & 9 4 = r₁ r₂ & r₁ r₂ = 3 2 & v= 4 3 r^3 & v₁ v₂ = r₁^3 r₂^3 = 27 8 & aligned

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