A uniform ring of mass m and radius r is placed directly above a uniform sphere of mass M…

Physics · JEE Advanced · NTA ExamsGravitation

A uniform ring of mass m and radius r is placed directly above a uniform sphere of mass M and of equal radius. The centre of the ring is at a distance\(\sqrt{3} r\)from the centre of the sphere. The gravitational force exerted by the sphere on the ring will be
  1. \(\frac{\text { GMm }}{8 r^{2}}\)
  2. \(\frac{\text { GMm }}{4 r^{2}}\)
  3. \(\frac{\sqrt{3} \text { GMm }}{8 r^{2}}\)
  4. \(\frac{\text { GMm }}{16 r^{2}}\)

Answer

(C) 3 GMm 8 r^ 2

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