A uniform solid sphere of radius 4 units is centred at O. Two spherical cavities of radius 1 unit are removed, with centres A(-2,0,0) and B(2,0,0). Select the correct statement(s) about the gravitational field and potential of the remaining body.

Select all that apply

• Option A

  The gravitational field due to this object at the origin is zero

• Option B

  The gravitational field at the point B (2, 0, 0) is zero

• Option C

  The gravitational potential is the same at all points of circle y² + z² = 36

• Option D

  The gravitational potential is the same at all points on the circle y² + z² = 4