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In the case of small bodies [Uniform gravitational field] centre of mass and center of gravity coincide with each other

In 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

While the centre of gravity depends on the acceleration caused by gravity, the centre of mass is independent of it.
Center of gravity is influenced by an object's mass distribution and shape.

Hence the correct answer is Center of mass describes the stability of the body where as centre of gravity describes the nature of motion of the body.

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