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MHT CET202019 Oct 2020Evening ShiftPhysicsMotion in One DimensionActual

Two spherical rain drops reach the surface of the earth with terminal velocities having ratio 16: 9 . The ratio of their surface area is

Options

  1. A4: 3
  2. B64: 27
  3. C16: 9
  4. D9: 16

Correct answer

C. 16: 9

Step-by-step solution

The terminal velocity of rain drop is array l v_ T = 2( - ) r² g 9 v_ T r² (i) array Also, surface area of rain drop, A=4 r² A r ² ...(ii) From Eqs. (i) and (ii), we get array l A₁ A₂ = V_ T₁ V_ T₂ = 16 9 or 16: 9 array

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