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Considerasolidsphereofdensityandradius4R.Centreofthesphereisat origin. Two spherical cavities centered at (2R,0) and (–2R,0) are created in sphere. Radii of both cavities is R. In left cavity material of density 2 is filled while second cavity is kept empty. What is gravitational field at origin

  1. fraction numerator G p pi R over denominator 3 end fraction    
  2. fraction numerator 2 G p pi R over denominator 3 end fraction    
  3. fraction numerator 4 G p pi R over denominator 3 end fraction    
  4. fraction numerator 3 G p pi R over denominator 2 end fraction    

The correct answer is: fraction numerator 2 G p pi R over denominator 3 end fraction



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