JEE Advanced 2018 Physics question
The potential energy of a particle of mass at a distance from a fixed point is given by , where is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius about the point . If is the speed of the particle and is the magnitude of its angular momentum about , which of the following statements is (are) true?
Answer: (B),(C)
Solution
The force is , directed towards O, with magnitude on the orbit. It provides the centripetal force:
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