A particle is moving in a central field given by \(U=-\frac{k}{r^2}\), where \(\hat{r}\) is the unit vector pointing away from the center of the field . What will be the possible force corresponding to the field.
1
\(-\frac{2k}{r^3}\hat r\)
2
\(-\frac{3k}{2r^3} \hat r\)
3
\(-\frac{k}{r^3}\hat r\)
4
\(\frac{2k}{r^3}\hat r\)