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MHT CET202410 May 2024Evening ShiftPhysicsMechanical Properties of FluidsActual

Two metal spheres are falling through a liquid of density 2.5 10^3 ~kg / m ^3 with the same uniform speed. The density of material of first sphere and second sphere is 11.5 10^3 ~kg / m ^3 and 8.5 10^3 ~kg / m ^3 respectively. The ratio of the radius of first sphere to that of second sphere is

Options

  1. A2 3
  2. B2 3
  3. C3 2
  4. D3 2

Correct answer

B. 2 3

Step-by-step solution

Terminal velocity is given by v= 2 r^2( - ) g 9 As the velocity is the same, array ll & r_A^2 ( _A- )=r_B^2 ( _B- ) & r_A r_B = _B- _A- array Substituting the given values, we get r_A r_B = 8.5 10^3-2.5 10^3 11.5 10^3-2.5 10^3 = 6 9 = 2 3

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