can never exist at a point where there is no mass.
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B
can exist at a point where there is no mass.
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C
may exist or may not exist.
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D
none of the above
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Solution
The correct option is Ccan exist at a point where there is no mass. Centre of gravity of an object is a specific point such that the body behaves as if the entire gravitational force is acting only at that point. It is unique for an object and can't be more than 1.
There are some objects whose centre of gravity doesn't have any matter at it. Eg: A hollow sphere and a ring have their centres of gravity at their geometric centres.