Teaching JKPSC Lecturership Mock Test Series 2024-25 Physical Sciences Classical Mechanics Central Force Motion
A particle is moving in a central force field given by \(\vec{F} = -kr^{n} \hat{r}\) , where k is a constant, r represents the distance of the particle from the origin, and \(\hat{r}\) is the unit vector in the direction of r . For which values of n are closed and stable orbits possible?
1
n = 1 and n = 2
2
n = 1 and n = -1
3
n = 2 and n = -2
4
n = 1 and n = -2