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Question

From a solid sphere of mass M and radius R, a spherical portion of radius R/2 is removed, as shown in the figure. Taking gravitational potential V = 0 at r = infinity, the potential at the centre of the cavityh thus formed is : (G = gravitational constant)

  1. fraction numerator negative 2 G M over denominator 3 R end fraction    
  2. fraction numerator negative 2 G M over denominator R end fraction    
  3. fraction numerator negative G M over denominator 2 R end fraction    
  4. fraction numerator negative G M over denominator R end fraction    

The correct answer is: fraction numerator negative G M over denominator R end fraction

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