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MHT CET20242 May 2024Morning ShiftPhysicsGravitationActual

The magnitude of gravitational field at distance ' r₁ ' and ' r₂ ' from the centre of a uniform sphere of radius ' R ' and mass ' M ' are ' F ₁ ' and ' F ₂ ' respectively. The ratio ' (F₁ / F₂ ) ' will be (if r₁ R and r₂ R )

Options

  1. AR ^2 r ₁ r ₂
  2. BR ^3 r ₁ r ₂^2
  3. CR ^3 r ₁^2 r ₂
  4. DR^4 r₁^2 r₂^2

Correct answer

C. R ^3 r ₁^2 r ₂

Step-by-step solution

For r R, F₁= G M r₁^2 aligned & For r R, F₂= GMr ₂ R ^3 & ~F ₁ ~F ₂ = GM r ₁^2 R ^3 GMr ₂ = R ^3 r ₁^2 r ₂ aligned

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