A solid sphere of uniform density and mass M has radius 4 m. Its centre is at the origin…

Physics · JEE Advanced · NTA ExamsGravitation

A solid sphere of uniform density and mass M has radius 4 m. Its centre is at the origin of the coordinate system. Two spheres of radii 1 m are taken out so, that their centres are at P (0, –2, 0) and Q (0, 2, 0), respectively. This leaves two spherical cavities. What is the gravitational field at the origin of the coordinate axes?
 Shape Description automatically generated with medium confidence
  1. \(\frac{31 G M}{1024}\)
  2. \(\frac{6 m}{1024}\)
  3. 31 GM
  4. zero

Answer

(D) zero

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