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NEET2005PhysicsGravitationActual

Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g ^ then:

Options

  1. Ag^ = g 9
  2. Bg^ =27 g
  3. Cg^ =9 g
  4. Dg^ =3 g

Correct answer

D. g^ =3 g

Step-by-step solution

aligned g= G M R^2 & = G 4 3 R^3 R^2 & = 4 3 G R g^ & = 4 3 G (3 R) & =3 g aligned

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