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  4. If the gravitational force were proportional to (1/r), then a particle in a circular orbit under such a force would have its original speed :

Q. If the gravitational force were proportional to , then a particle in a circular orbit under such a force would have its original speed :

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Solution:

If the gravitational force is inversely proportional to then this force will provide the necessary centripetal force for circular motion of the particle and the radius in denominator of both terms will cancel and the speed will be independent of .

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