**JEE Advanced 2018 Paper 1, Question 1**

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?

**Solution**

The force due to the given potential is

(1)

The mass also experiences a centrifugal force due to its circular motion,

(2)

For the …