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MHT CET2010PhysicsGravitation

If the density of the earth is doubled keeping radius constant, find the new acceleration due to gravity? (g=9.8 ~m / s ² )

Options

  1. A9.8 ~m / s ²
  2. B19.6 ~m / s ²
  3. C4.9 ~m / s ²
  4. D39.2 ~m / s ²

Correct answer

B. 19.6 ~m / s ²

Step-by-step solution

Acceleration due to gravity g= 4 3 G R or g d R [ density d= 4 3 ] aligned & g₁ g₂ = d₁ d₂ g₁ g₂ &= d 2 d ( d₂=2 d ) & g₂=g₁ 2=9.8 2 & g₂=19.6 ~m / s ² aligned

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