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In the case of small bodies [Uniform gravitional field] centre of mass and center of gravity concide with each other.

In a non – uniform gravitational field, centre of mass and centre of gravity will not coincide with each other.

Centre of mass is independent of acceleration due to gravity, but center of gravity depends on acceleration due to gravity.

Center of mass describes the stability of the body whereas centre of gravity describes the nature of motion of the body.

answer is D.

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Detailed Solution

Cnetre of gravity is the point at which resultant force due to gravity acts on a body.So position of centre of gravity determines whether the force due to gravity produces toppling moment about a given point.Again if resultant external force acting on a body passes through its centre of mass, body passes through its centre of mass , motion of the body (if it is free to move) is translational , otherwise it will be a combination of translation and rotation.

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