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Suppose there are two planets, 1 and 2 , having the same density but their radii are R₁ and R₂ respectively, where R₁ R₂ . The accelerations due to gravity on the surface of these planets are related as

Options

  1. Ag₁ g₂
  2. Bg₁ g₂
  3. Cg₁=g₂
  4. DCan't say anything

Correct answer

A. g₁ g₂

Step-by-step solution

Acceleration due to gravity g= G M R^2 aligned & g = G 4 3 R ^2 R ^2 & ~g = 4 3 G R & g R aligned gathered As R ₁ R ₂ ~g ₁ g ₂ gathered

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