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A test particle is moving in a circular orbit in the gravitational field produced by a mass density ρ (r) = 2 r K . Identify the correct relation between the radius R of the particle's orbit and its period T :

1. T/R 2 is a constant
2. T/R is a constant
3. T 2 /R 3 is a constant
4. TR is a constant

Correct answer: T/R is a constant

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