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A spherical planet has a mass M_p and diameter D_p . A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to

Options

  1. A4 G M_p / D_p^2
  2. BG M_p m / D_p^2
  3. CG M_p m / D_p^2
  4. D4 G M_p m / D_p^2

Correct answer

A. 4 G M_p / D_p^2

Step-by-step solution

Force, F= G M_e m R^2 Here, F= G M_P m (D_P / 2 )^2 aligned & F= 4 G M_P m D_P^2 & F=m a aligned Acceleration due to gravity a= F m = 4 G M_P D_P^2

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